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

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


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

Reorder the terms:
8(2 + x) + 5(x + 2) = 7x + -7
(2 * 8 + x * 8) + 5(x + 2) = 7x + -7
(16 + 8x) + 5(x + 2) = 7x + -7

Reorder the terms:
16 + 8x + 5(2 + x) = 7x + -7
16 + 8x + (2 * 5 + x * 5) = 7x + -7
16 + 8x + (10 + 5x) = 7x + -7

Reorder the terms:
16 + 10 + 8x + 5x = 7x + -7

Combine like terms: 16 + 10 = 26
26 + 8x + 5x = 7x + -7

Combine like terms: 8x + 5x = 13x
26 + 13x = 7x + -7

Reorder the terms:
26 + 13x = -7 + 7x

Solving
26 + 13x = -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.
26 + 13x + -7x = -7 + 7x + -7x

Combine like terms: 13x + -7x = 6x
26 + 6x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
26 + 6x = -7 + 0
26 + 6x = -7

Add '-26' to each side of the equation.
26 + -26 + 6x = -7 + -26

Combine like terms: 26 + -26 = 0
0 + 6x = -7 + -26
6x = -7 + -26

Combine like terms: -7 + -26 = -33
6x = -33

Divide each side by '6'.
x = -5.5

Simplifying
x = -5.5

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