5x-8=13+7(x-3)

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Solution for 5x-8=13+7(x-3) equation:


Simplifying
5x + -8 = 13 + 7(x + -3)

Reorder the terms:
-8 + 5x = 13 + 7(x + -3)

Reorder the terms:
-8 + 5x = 13 + 7(-3 + x)
-8 + 5x = 13 + (-3 * 7 + x * 7)
-8 + 5x = 13 + (-21 + 7x)

Combine like terms: 13 + -21 = -8
-8 + 5x = -8 + 7x

Add '8' to each side of the equation.
-8 + 8 + 5x = -8 + 8 + 7x

Combine like terms: -8 + 8 = 0
0 + 5x = -8 + 8 + 7x
5x = -8 + 8 + 7x

Combine like terms: -8 + 8 = 0
5x = 0 + 7x
5x = 7x

Solving
5x = 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.
5x + -7x = 7x + -7x

Combine like terms: 5x + -7x = -2x
-2x = 7x + -7x

Combine like terms: 7x + -7x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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