8(x+5)+4(x+5)=7x-7

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Solution for 8(x+5)+4(x+5)=7x-7 equation:


Simplifying
8(x + 5) + 4(x + 5) = 7x + -7

Reorder the terms:
8(5 + x) + 4(x + 5) = 7x + -7
(5 * 8 + x * 8) + 4(x + 5) = 7x + -7
(40 + 8x) + 4(x + 5) = 7x + -7

Reorder the terms:
40 + 8x + 4(5 + x) = 7x + -7
40 + 8x + (5 * 4 + x * 4) = 7x + -7
40 + 8x + (20 + 4x) = 7x + -7

Reorder the terms:
40 + 20 + 8x + 4x = 7x + -7

Combine like terms: 40 + 20 = 60
60 + 8x + 4x = 7x + -7

Combine like terms: 8x + 4x = 12x
60 + 12x = 7x + -7

Reorder the terms:
60 + 12x = -7 + 7x

Solving
60 + 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.
60 + 12x + -7x = -7 + 7x + -7x

Combine like terms: 12x + -7x = 5x
60 + 5x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
60 + 5x = -7 + 0
60 + 5x = -7

Add '-60' to each side of the equation.
60 + -60 + 5x = -7 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = -7 + -60
5x = -7 + -60

Combine like terms: -7 + -60 = -67
5x = -67

Divide each side by '5'.
x = -13.4

Simplifying
x = -13.4

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