2x+x-8=5(2x-3)

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Solution for 2x+x-8=5(2x-3) equation:


Simplifying
2x + x + -8 = 5(2x + -3)

Reorder the terms:
-8 + 2x + x = 5(2x + -3)

Combine like terms: 2x + x = 3x
-8 + 3x = 5(2x + -3)

Reorder the terms:
-8 + 3x = 5(-3 + 2x)
-8 + 3x = (-3 * 5 + 2x * 5)
-8 + 3x = (-15 + 10x)

Solving
-8 + 3x = -15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 3x + -10x = -15 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-8 + -7x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + -7x = -15 + 0
-8 + -7x = -15

Add '8' to each side of the equation.
-8 + 8 + -7x = -15 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = -15 + 8
-7x = -15 + 8

Combine like terms: -15 + 8 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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