7x-(6x+4)=2x-13

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Solution for 7x-(6x+4)=2x-13 equation:


Simplifying
7x + -1(6x + 4) = 2x + -13

Reorder the terms:
7x + -1(4 + 6x) = 2x + -13
7x + (4 * -1 + 6x * -1) = 2x + -13
7x + (-4 + -6x) = 2x + -13

Reorder the terms:
-4 + 7x + -6x = 2x + -13

Combine like terms: 7x + -6x = 1x
-4 + 1x = 2x + -13

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

Solving
-4 + 1x = -13 + 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.
-4 + 1x + -2x = -13 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-4 + -1x = -13 + 0
-4 + -1x = -13

Add '4' to each side of the equation.
-4 + 4 + -1x = -13 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -13 + 4
-1x = -13 + 4

Combine like terms: -13 + 4 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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