-1x+2-3x+4=-5+6x-7+8x

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Solution for -1x+2-3x+4=-5+6x-7+8x equation: 


Simplifying
-1x + 2 + -3x + 4 = -5 + 6x + -7 + 8x

Reorder the terms:
2 + 4 + -1x + -3x = -5 + 6x + -7 + 8x

Combine like terms: 2 + 4 = 6
6 + -1x + -3x = -5 + 6x + -7 + 8x

Combine like terms: -1x + -3x = -4x
6 + -4x = -5 + 6x + -7 + 8x

Reorder the terms:
6 + -4x = -5 + -7 + 6x + 8x

Combine like terms: -5 + -7 = -12
6 + -4x = -12 + 6x + 8x

Combine like terms: 6x + 8x = 14x
6 + -4x = -12 + 14x

Solving
6 + -4x = -12 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + -4x + -14x = -12 + 14x + -14x

Combine like terms: -4x + -14x = -18x
6 + -18x = -12 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -18x = -12 + 0
6 + -18x = -12

Add '-6' to each side of the equation.
6 + -6 + -18x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -18x = -12 + -6
-18x = -12 + -6

Combine like terms: -12 + -6 = -18
-18x = -18

Divide each side by '-18'.
x = 1

Simplifying
x = 1

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