7(x+6)=-3(2x-8)+5x

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Solution for 7(x+6)=-3(2x-8)+5x equation:


Simplifying
7(x + 6) = -3(2x + -8) + 5x

Reorder the terms:
7(6 + x) = -3(2x + -8) + 5x
(6 * 7 + x * 7) = -3(2x + -8) + 5x
(42 + 7x) = -3(2x + -8) + 5x

Reorder the terms:
42 + 7x = -3(-8 + 2x) + 5x
42 + 7x = (-8 * -3 + 2x * -3) + 5x
42 + 7x = (24 + -6x) + 5x

Combine like terms: -6x + 5x = -1x
42 + 7x = 24 + -1x

Solving
42 + 7x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
42 + 7x + x = 24 + -1x + x

Combine like terms: 7x + x = 8x
42 + 8x = 24 + -1x + x

Combine like terms: -1x + x = 0
42 + 8x = 24 + 0
42 + 8x = 24

Add '-42' to each side of the equation.
42 + -42 + 8x = 24 + -42

Combine like terms: 42 + -42 = 0
0 + 8x = 24 + -42
8x = 24 + -42

Combine like terms: 24 + -42 = -18
8x = -18

Divide each side by '8'.
x = -2.25

Simplifying
x = -2.25

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