8(x+2)=3(x+1)-22

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Solution for 8(x+2)=3(x+1)-22 equation: 


Simplifying
8(x + 2) = 3(x + 1) + -22

Reorder the terms:
8(2 + x) = 3(x + 1) + -22
(2 * 8 + x * 8) = 3(x + 1) + -22
(16 + 8x) = 3(x + 1) + -22

Reorder the terms:
16 + 8x = 3(1 + x) + -22
16 + 8x = (1 * 3 + x * 3) + -22
16 + 8x = (3 + 3x) + -22

Reorder the terms:
16 + 8x = 3 + -22 + 3x

Combine like terms: 3 + -22 = -19
16 + 8x = -19 + 3x

Solving
16 + 8x = -19 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + 8x + -3x = -19 + 3x + -3x

Combine like terms: 8x + -3x = 5x
16 + 5x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + 5x = -19 + 0
16 + 5x = -19

Add '-16' to each side of the equation.
16 + -16 + 5x = -19 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -19 + -16
5x = -19 + -16

Combine like terms: -19 + -16 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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