5x-3(4x-5)=-9x+11

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Solution for 5x-3(4x-5)=-9x+11 equation: 


Simplifying
5x + -3(4x + -5) = -9x + 11

Reorder the terms:
5x + -3(-5 + 4x) = -9x + 11
5x + (-5 * -3 + 4x * -3) = -9x + 11
5x + (15 + -12x) = -9x + 11

Reorder the terms:
15 + 5x + -12x = -9x + 11

Combine like terms: 5x + -12x = -7x
15 + -7x = -9x + 11

Reorder the terms:
15 + -7x = 11 + -9x

Solving
15 + -7x = 11 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
15 + -7x + 9x = 11 + -9x + 9x

Combine like terms: -7x + 9x = 2x
15 + 2x = 11 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + 2x = 11 + 0
15 + 2x = 11

Add '-15' to each side of the equation.
15 + -15 + 2x = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 11 + -15
2x = 11 + -15

Combine like terms: 11 + -15 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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