7x-(5x+9)=6x-13

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Solution for 7x-(5x+9)=6x-13 equation:


Simplifying
7x + -1(5x + 9) = 6x + -13

Reorder the terms:
7x + -1(9 + 5x) = 6x + -13
7x + (9 * -1 + 5x * -1) = 6x + -13
7x + (-9 + -5x) = 6x + -13

Reorder the terms:
-9 + 7x + -5x = 6x + -13

Combine like terms: 7x + -5x = 2x
-9 + 2x = 6x + -13

Reorder the terms:
-9 + 2x = -13 + 6x

Solving
-9 + 2x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 2x + -6x = -13 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-9 + -4x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -4x = -13 + 0
-9 + -4x = -13

Add '9' to each side of the equation.
-9 + 9 + -4x = -13 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -13 + 9
-4x = -13 + 9

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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