5(2x-4)-4=5(x-3)+26

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Solution for 5(2x-4)-4=5(x-3)+26 equation:


Simplifying
5(2x + -4) + -4 = 5(x + -3) + 26

Reorder the terms:
5(-4 + 2x) + -4 = 5(x + -3) + 26
(-4 * 5 + 2x * 5) + -4 = 5(x + -3) + 26
(-20 + 10x) + -4 = 5(x + -3) + 26

Reorder the terms:
-20 + -4 + 10x = 5(x + -3) + 26

Combine like terms: -20 + -4 = -24
-24 + 10x = 5(x + -3) + 26

Reorder the terms:
-24 + 10x = 5(-3 + x) + 26
-24 + 10x = (-3 * 5 + x * 5) + 26
-24 + 10x = (-15 + 5x) + 26

Reorder the terms:
-24 + 10x = -15 + 26 + 5x

Combine like terms: -15 + 26 = 11
-24 + 10x = 11 + 5x

Solving
-24 + 10x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + 10x + -5x = 11 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-24 + 5x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + 5x = 11 + 0
-24 + 5x = 11

Add '24' to each side of the equation.
-24 + 24 + 5x = 11 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 11 + 24
5x = 11 + 24

Combine like terms: 11 + 24 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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