x+1+2x-8+3x=-x+8+4x-12

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Solution for x+1+2x-8+3x=-x+8+4x-12 equation:


Simplifying
x + 1 + 2x + -8 + 3x = -1x + 8 + 4x + -12

Reorder the terms:
1 + -8 + x + 2x + 3x = -1x + 8 + 4x + -12

Combine like terms: 1 + -8 = -7
-7 + x + 2x + 3x = -1x + 8 + 4x + -12

Combine like terms: x + 2x = 3x
-7 + 3x + 3x = -1x + 8 + 4x + -12

Combine like terms: 3x + 3x = 6x
-7 + 6x = -1x + 8 + 4x + -12

Reorder the terms:
-7 + 6x = 8 + -12 + -1x + 4x

Combine like terms: 8 + -12 = -4
-7 + 6x = -4 + -1x + 4x

Combine like terms: -1x + 4x = 3x
-7 + 6x = -4 + 3x

Solving
-7 + 6x = -4 + 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.
-7 + 6x + -3x = -4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-7 + 3x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 3x = -4 + 0
-7 + 3x = -4

Add '7' to each side of the equation.
-7 + 7 + 3x = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -4 + 7
3x = -4 + 7

Combine like terms: -4 + 7 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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