6-8x-4=-42+3x-11

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Solution for 6-8x-4=-42+3x-11 equation:


Simplifying
6 + -8x + -4 = -42 + 3x + -11

Reorder the terms:
6 + -4 + -8x = -42 + 3x + -11

Combine like terms: 6 + -4 = 2
2 + -8x = -42 + 3x + -11

Reorder the terms:
2 + -8x = -42 + -11 + 3x

Combine like terms: -42 + -11 = -53
2 + -8x = -53 + 3x

Solving
2 + -8x = -53 + 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.
2 + -8x + -3x = -53 + 3x + -3x

Combine like terms: -8x + -3x = -11x
2 + -11x = -53 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -11x = -53 + 0
2 + -11x = -53

Add '-2' to each side of the equation.
2 + -2 + -11x = -53 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = -53 + -2
-11x = -53 + -2

Combine like terms: -53 + -2 = -55
-11x = -55

Divide each side by '-11'.
x = 5

Simplifying
x = 5

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