5(2x-7)-2=5(x-4)+18

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Solution for 5(2x-7)-2=5(x-4)+18 equation:


Simplifying
5(2x + -7) + -2 = 5(x + -4) + 18

Reorder the terms:
5(-7 + 2x) + -2 = 5(x + -4) + 18
(-7 * 5 + 2x * 5) + -2 = 5(x + -4) + 18
(-35 + 10x) + -2 = 5(x + -4) + 18

Reorder the terms:
-35 + -2 + 10x = 5(x + -4) + 18

Combine like terms: -35 + -2 = -37
-37 + 10x = 5(x + -4) + 18

Reorder the terms:
-37 + 10x = 5(-4 + x) + 18
-37 + 10x = (-4 * 5 + x * 5) + 18
-37 + 10x = (-20 + 5x) + 18

Reorder the terms:
-37 + 10x = -20 + 18 + 5x

Combine like terms: -20 + 18 = -2
-37 + 10x = -2 + 5x

Solving
-37 + 10x = -2 + 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.
-37 + 10x + -5x = -2 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-37 + 5x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 5x = -2 + 0
-37 + 5x = -2

Add '37' to each side of the equation.
-37 + 37 + 5x = -2 + 37

Combine like terms: -37 + 37 = 0
0 + 5x = -2 + 37
5x = -2 + 37

Combine like terms: -2 + 37 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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