3(x+1)+1=8(x-13)-2

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Solution for 3(x+1)+1=8(x-13)-2 equation:


Simplifying
3(x + 1) + 1 = 8(x + -13) + -2

Reorder the terms:
3(1 + x) + 1 = 8(x + -13) + -2
(1 * 3 + x * 3) + 1 = 8(x + -13) + -2
(3 + 3x) + 1 = 8(x + -13) + -2

Reorder the terms:
3 + 1 + 3x = 8(x + -13) + -2

Combine like terms: 3 + 1 = 4
4 + 3x = 8(x + -13) + -2

Reorder the terms:
4 + 3x = 8(-13 + x) + -2
4 + 3x = (-13 * 8 + x * 8) + -2
4 + 3x = (-104 + 8x) + -2

Reorder the terms:
4 + 3x = -104 + -2 + 8x

Combine like terms: -104 + -2 = -106
4 + 3x = -106 + 8x

Solving
4 + 3x = -106 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 3x + -8x = -106 + 8x + -8x

Combine like terms: 3x + -8x = -5x
4 + -5x = -106 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -5x = -106 + 0
4 + -5x = -106

Add '-4' to each side of the equation.
4 + -4 + -5x = -106 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -106 + -4
-5x = -106 + -4

Combine like terms: -106 + -4 = -110
-5x = -110

Divide each side by '-5'.
x = 22

Simplifying
x = 22

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