1-2x-6+4=5x-30-13

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Solution for 1-2x-6+4=5x-30-13 equation: 


Simplifying
1 + -2x + -6 + 4 = 5x + -30 + -13

Reorder the terms:
1 + -6 + 4 + -2x = 5x + -30 + -13

Combine like terms: 1 + -6 = -5
-5 + 4 + -2x = 5x + -30 + -13

Combine like terms: -5 + 4 = -1
-1 + -2x = 5x + -30 + -13

Reorder the terms:
-1 + -2x = -30 + -13 + 5x

Combine like terms: -30 + -13 = -43
-1 + -2x = -43 + 5x

Solving
-1 + -2x = -43 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + -2x + -5x = -43 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-1 + -7x = -43 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -7x = -43 + 0
-1 + -7x = -43

Add '1' to each side of the equation.
-1 + 1 + -7x = -43 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -43 + 1
-7x = -43 + 1

Combine like terms: -43 + 1 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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