6x-(7x+3)=2x-36

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Solution for 6x-(7x+3)=2x-36 equation:


Simplifying
6x + -1(7x + 3) = 2x + -36

Reorder the terms:
6x + -1(3 + 7x) = 2x + -36
6x + (3 * -1 + 7x * -1) = 2x + -36
6x + (-3 + -7x) = 2x + -36

Reorder the terms:
-3 + 6x + -7x = 2x + -36

Combine like terms: 6x + -7x = -1x
-3 + -1x = 2x + -36

Reorder the terms:
-3 + -1x = -36 + 2x

Solving
-3 + -1x = -36 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + -1x + -2x = -36 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-3 + -3x = -36 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -3x = -36 + 0
-3 + -3x = -36

Add '3' to each side of the equation.
-3 + 3 + -3x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -36 + 3
-3x = -36 + 3

Combine like terms: -36 + 3 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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