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

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


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

Reorder the terms:
8(2 + x) + 3(x + 2) = 7x + -7
(2 * 8 + x * 8) + 3(x + 2) = 7x + -7
(16 + 8x) + 3(x + 2) = 7x + -7

Reorder the terms:
16 + 8x + 3(2 + x) = 7x + -7
16 + 8x + (2 * 3 + x * 3) = 7x + -7
16 + 8x + (6 + 3x) = 7x + -7

Reorder the terms:
16 + 6 + 8x + 3x = 7x + -7

Combine like terms: 16 + 6 = 22
22 + 8x + 3x = 7x + -7

Combine like terms: 8x + 3x = 11x
22 + 11x = 7x + -7

Reorder the terms:
22 + 11x = -7 + 7x

Solving
22 + 11x = -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.
22 + 11x + -7x = -7 + 7x + -7x

Combine like terms: 11x + -7x = 4x
22 + 4x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + 4x = -7 + 0
22 + 4x = -7

Add '-22' to each side of the equation.
22 + -22 + 4x = -7 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = -7 + -22
4x = -7 + -22

Combine like terms: -7 + -22 = -29
4x = -29

Divide each side by '4'.
x = -7.25

Simplifying
x = -7.25

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