3x-(8x+6)=7x-42

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Solution for 3x-(8x+6)=7x-42 equation:


Simplifying
3x + -1(8x + 6) = 7x + -42

Reorder the terms:
3x + -1(6 + 8x) = 7x + -42
3x + (6 * -1 + 8x * -1) = 7x + -42
3x + (-6 + -8x) = 7x + -42

Reorder the terms:
-6 + 3x + -8x = 7x + -42

Combine like terms: 3x + -8x = -5x
-6 + -5x = 7x + -42

Reorder the terms:
-6 + -5x = -42 + 7x

Solving
-6 + -5x = -42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + -5x + -7x = -42 + 7x + -7x

Combine like terms: -5x + -7x = -12x
-6 + -12x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -12x = -42 + 0
-6 + -12x = -42

Add '6' to each side of the equation.
-6 + 6 + -12x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = -42 + 6
-12x = -42 + 6

Combine like terms: -42 + 6 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3

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