8-x+5(x+3)=12x+3(1-x)

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Solution for 8-x+5(x+3)=12x+3(1-x) equation:


Simplifying
8 + -1x + 5(x + 3) = 12x + 3(1 + -1x)

Reorder the terms:
8 + -1x + 5(3 + x) = 12x + 3(1 + -1x)
8 + -1x + (3 * 5 + x * 5) = 12x + 3(1 + -1x)
8 + -1x + (15 + 5x) = 12x + 3(1 + -1x)

Reorder the terms:
8 + 15 + -1x + 5x = 12x + 3(1 + -1x)

Combine like terms: 8 + 15 = 23
23 + -1x + 5x = 12x + 3(1 + -1x)

Combine like terms: -1x + 5x = 4x
23 + 4x = 12x + 3(1 + -1x)
23 + 4x = 12x + (1 * 3 + -1x * 3)
23 + 4x = 12x + (3 + -3x)

Reorder the terms:
23 + 4x = 3 + 12x + -3x

Combine like terms: 12x + -3x = 9x
23 + 4x = 3 + 9x

Solving
23 + 4x = 3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
23 + 4x + -9x = 3 + 9x + -9x

Combine like terms: 4x + -9x = -5x
23 + -5x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
23 + -5x = 3 + 0
23 + -5x = 3

Add '-23' to each side of the equation.
23 + -23 + -5x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + -5x = 3 + -23
-5x = 3 + -23

Combine like terms: 3 + -23 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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