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

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


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

Reorder the terms:
8(2 + x) + 4(x + 2) = 7x + -7
(2 * 8 + x * 8) + 4(x + 2) = 7x + -7
(16 + 8x) + 4(x + 2) = 7x + -7

Reorder the terms:
16 + 8x + 4(2 + x) = 7x + -7
16 + 8x + (2 * 4 + x * 4) = 7x + -7
16 + 8x + (8 + 4x) = 7x + -7

Reorder the terms:
16 + 8 + 8x + 4x = 7x + -7

Combine like terms: 16 + 8 = 24
24 + 8x + 4x = 7x + -7

Combine like terms: 8x + 4x = 12x
24 + 12x = 7x + -7

Reorder the terms:
24 + 12x = -7 + 7x

Solving
24 + 12x = -7 + 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.
24 + 12x + -7x = -7 + 7x + -7x

Combine like terms: 12x + -7x = 5x
24 + 5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 5x = -7 + 0
24 + 5x = -7

Add '-24' to each side of the equation.
24 + -24 + 5x = -7 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = -7 + -24
5x = -7 + -24

Combine like terms: -7 + -24 = -31
5x = -31

Divide each side by '5'.
x = -6.2

Simplifying
x = -6.2

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