8(x+1)=3(x-1)+4x+31

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Solution for 8(x+1)=3(x-1)+4x+31 equation:


Simplifying
8(x + 1) = 3(x + -1) + 4x + 31

Reorder the terms:
8(1 + x) = 3(x + -1) + 4x + 31
(1 * 8 + x * 8) = 3(x + -1) + 4x + 31
(8 + 8x) = 3(x + -1) + 4x + 31

Reorder the terms:
8 + 8x = 3(-1 + x) + 4x + 31
8 + 8x = (-1 * 3 + x * 3) + 4x + 31
8 + 8x = (-3 + 3x) + 4x + 31

Reorder the terms:
8 + 8x = -3 + 31 + 3x + 4x

Combine like terms: -3 + 31 = 28
8 + 8x = 28 + 3x + 4x

Combine like terms: 3x + 4x = 7x
8 + 8x = 28 + 7x

Solving
8 + 8x = 28 + 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.
8 + 8x + -7x = 28 + 7x + -7x

Combine like terms: 8x + -7x = 1x
8 + 1x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 1x = 28 + 0
8 + 1x = 28

Add '-8' to each side of the equation.
8 + -8 + 1x = 28 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 28 + -8
1x = 28 + -8

Combine like terms: 28 + -8 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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