2x-3x-13=7(2x+11)

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Solution for 2x-3x-13=7(2x+11) equation: 


Simplifying
2x + -3x + -13 = 7(2x + 11)

Reorder the terms:
-13 + 2x + -3x = 7(2x + 11)

Combine like terms: 2x + -3x = -1x
-13 + -1x = 7(2x + 11)

Reorder the terms:
-13 + -1x = 7(11 + 2x)
-13 + -1x = (11 * 7 + 2x * 7)
-13 + -1x = (77 + 14x)

Solving
-13 + -1x = 77 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-13 + -1x + -14x = 77 + 14x + -14x

Combine like terms: -1x + -14x = -15x
-13 + -15x = 77 + 14x + -14x

Combine like terms: 14x + -14x = 0
-13 + -15x = 77 + 0
-13 + -15x = 77

Add '13' to each side of the equation.
-13 + 13 + -15x = 77 + 13

Combine like terms: -13 + 13 = 0
0 + -15x = 77 + 13
-15x = 77 + 13

Combine like terms: 77 + 13 = 90
-15x = 90

Divide each side by '-15'.
x = -6

Simplifying
x = -6

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