-3(x-11)=4x-2

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Solution for -3(x-11)=4x-2 equation:


Simplifying
-3(x + -11) = 4x + -2

Reorder the terms:
-3(-11 + x) = 4x + -2
(-11 * -3 + x * -3) = 4x + -2
(33 + -3x) = 4x + -2

Reorder the terms:
33 + -3x = -2 + 4x

Solving
33 + -3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
33 + -3x + -4x = -2 + 4x + -4x

Combine like terms: -3x + -4x = -7x
33 + -7x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
33 + -7x = -2 + 0
33 + -7x = -2

Add '-33' to each side of the equation.
33 + -33 + -7x = -2 + -33

Combine like terms: 33 + -33 = 0
0 + -7x = -2 + -33
-7x = -2 + -33

Combine like terms: -2 + -33 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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