 # 2x-9(x-4)=10

## Enter Equation or Inequality

Solve the following equation
2x-9(x-4)=10

Solve for x
2x - 9(x - 4) = 10

Simplify by removing parentheses
Simplify -9(x - 4):
Distribute the -9 to each term in (x-4)
-9 * x = (-9 * 1)x = -9x
-9 * -4 = (-9 * -4) = 36
Our Total expanded term is -9x + 36

Our new term is
2x - 9x + 36 = 10

Simplify by removing parentheses
Our new term is
2x - 9x + 36 = 10

(2 - 9)x = -7x

-7x + 36 = + 10

## Group constants

Group our constants 36 and 10.
subtract 36 from both sides
-7x + 36 - 36 = 10 - 36

-7x = -26

## Divide each side of the equation by -7

 -7x -7
 =
 -26 -7

x = 3.7142857142857  x = 3.7142857142857

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Free Equation and Inequalities Calculator - Solves an equation or inequality with 1 unknown variable and no exponents as well as certain absolute value equations and inequalities such as |x|=c and |ax| = c where a and c are constants. Solves square root, cube root, and other root equations in the form ax^2=c, ax^2 + b = c. Also solves radical equations in the form asqrt(bx) = c. Also solves open sentences and it will solve one step problems and two step equations. 2 step equations and one step equations and multi step equations
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One Step Equations (Division): cx = b x = b/c
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One Step Equations (Subtraction): x - c = b x = b + c

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equation
a statement declaring two mathematical expressions are equal
equation and inequalities
unknown
a number or value we do not know
variable
Alphabetic character representing a number