5(2x-4)-11=4x+3x

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Solution for 5(2x-4)-11=4x+3x equation:


Simplifying
5(2x + -4) + -11 = 4x + 3x

Reorder the terms:
5(-4 + 2x) + -11 = 4x + 3x
(-4 * 5 + 2x * 5) + -11 = 4x + 3x
(-20 + 10x) + -11 = 4x + 3x

Reorder the terms:
-20 + -11 + 10x = 4x + 3x

Combine like terms: -20 + -11 = -31
-31 + 10x = 4x + 3x

Combine like terms: 4x + 3x = 7x
-31 + 10x = 7x

Solving
-31 + 10x = 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-31 + 10x + -7x = 7x + -7x

Combine like terms: 10x + -7x = 3x
-31 + 3x = 7x + -7x

Combine like terms: 7x + -7x = 0
-31 + 3x = 0

Add '31' to each side of the equation.
-31 + 31 + 3x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = 0 + 31
3x = 0 + 31

Combine like terms: 0 + 31 = 31
3x = 31

Divide each side by '3'.
x = 10.33333333

Simplifying
x = 10.33333333

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