7x-(6x+2)=5x-42

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Solution for 7x-(6x+2)=5x-42 equation:


Simplifying
7x + -1(6x + 2) = 5x + -42

Reorder the terms:
7x + -1(2 + 6x) = 5x + -42
7x + (2 * -1 + 6x * -1) = 5x + -42
7x + (-2 + -6x) = 5x + -42

Reorder the terms:
-2 + 7x + -6x = 5x + -42

Combine like terms: 7x + -6x = 1x
-2 + 1x = 5x + -42

Reorder the terms:
-2 + 1x = -42 + 5x

Solving
-2 + 1x = -42 + 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.
-2 + 1x + -5x = -42 + 5x + -5x

Combine like terms: 1x + -5x = -4x
-2 + -4x = -42 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -4x = -42 + 0
-2 + -4x = -42

Add '2' to each side of the equation.
-2 + 2 + -4x = -42 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -42 + 2
-4x = -42 + 2

Combine like terms: -42 + 2 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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