8(x+3)+4=-2(x-7)-10

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Solution for 8(x+3)+4=-2(x-7)-10 equation: 


Simplifying
8(x + 3) + 4 = -2(x + -7) + -10

Reorder the terms:
8(3 + x) + 4 = -2(x + -7) + -10
(3 * 8 + x * 8) + 4 = -2(x + -7) + -10
(24 + 8x) + 4 = -2(x + -7) + -10

Reorder the terms:
24 + 4 + 8x = -2(x + -7) + -10

Combine like terms: 24 + 4 = 28
28 + 8x = -2(x + -7) + -10

Reorder the terms:
28 + 8x = -2(-7 + x) + -10
28 + 8x = (-7 * -2 + x * -2) + -10
28 + 8x = (14 + -2x) + -10

Reorder the terms:
28 + 8x = 14 + -10 + -2x

Combine like terms: 14 + -10 = 4
28 + 8x = 4 + -2x

Solving
28 + 8x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
28 + 8x + 2x = 4 + -2x + 2x

Combine like terms: 8x + 2x = 10x
28 + 10x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 10x = 4 + 0
28 + 10x = 4

Add '-28' to each side of the equation.
28 + -28 + 10x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = 4 + -28
10x = 4 + -28

Combine like terms: 4 + -28 = -24
10x = -24

Divide each side by '10'.
x = -2.4

Simplifying
x = -2.4

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