5(x+6)+8=7x-8

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Solution for 5(x+6)+8=7x-8 equation:


Simplifying
5(x + 6) + 8 = 7x + -8

Reorder the terms:
5(6 + x) + 8 = 7x + -8
(6 * 5 + x * 5) + 8 = 7x + -8
(30 + 5x) + 8 = 7x + -8

Reorder the terms:
30 + 8 + 5x = 7x + -8

Combine like terms: 30 + 8 = 38
38 + 5x = 7x + -8

Reorder the terms:
38 + 5x = -8 + 7x

Solving
38 + 5x = -8 + 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.
38 + 5x + -7x = -8 + 7x + -7x

Combine like terms: 5x + -7x = -2x
38 + -2x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
38 + -2x = -8 + 0
38 + -2x = -8

Add '-38' to each side of the equation.
38 + -38 + -2x = -8 + -38

Combine like terms: 38 + -38 = 0
0 + -2x = -8 + -38
-2x = -8 + -38

Combine like terms: -8 + -38 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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