5x-3(x-11)=7(2x-5)-2

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Solution for 5x-3(x-11)=7(2x-5)-2 equation:


Simplifying
5x + -3(x + -11) = 7(2x + -5) + -2

Reorder the terms:
5x + -3(-11 + x) = 7(2x + -5) + -2
5x + (-11 * -3 + x * -3) = 7(2x + -5) + -2
5x + (33 + -3x) = 7(2x + -5) + -2

Reorder the terms:
33 + 5x + -3x = 7(2x + -5) + -2

Combine like terms: 5x + -3x = 2x
33 + 2x = 7(2x + -5) + -2

Reorder the terms:
33 + 2x = 7(-5 + 2x) + -2
33 + 2x = (-5 * 7 + 2x * 7) + -2
33 + 2x = (-35 + 14x) + -2

Reorder the terms:
33 + 2x = -35 + -2 + 14x

Combine like terms: -35 + -2 = -37
33 + 2x = -37 + 14x

Solving
33 + 2x = -37 + 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.
33 + 2x + -14x = -37 + 14x + -14x

Combine like terms: 2x + -14x = -12x
33 + -12x = -37 + 14x + -14x

Combine like terms: 14x + -14x = 0
33 + -12x = -37 + 0
33 + -12x = -37

Add '-33' to each side of the equation.
33 + -33 + -12x = -37 + -33

Combine like terms: 33 + -33 = 0
0 + -12x = -37 + -33
-12x = -37 + -33

Combine like terms: -37 + -33 = -70
-12x = -70

Divide each side by '-12'.
x = 5.833333333

Simplifying
x = 5.833333333

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