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 = 34
-8 + 5x = 34 + 7x

Solving
-8 + 5x = 34 + 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.
-8 + 5x + -7x = 34 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-8 + -2x = 34 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -2x = 34 + 0
-8 + -2x = 34

Add '8' to each side of the equation.
-8 + 8 + -2x = 34 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 34 + 8
-2x = 34 + 8

Combine like terms: 34 + 8 = 42
-2x = 42

Divide each side by '-2'.
x = -21

Simplifying
x = -21

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