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

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


Simplifying
2(3x + -3) = 4(-1x + 11)

Reorder the terms:
2(-3 + 3x) = 4(-1x + 11)
(-3 * 2 + 3x * 2) = 4(-1x + 11)
(-6 + 6x) = 4(-1x + 11)

Reorder the terms:
-6 + 6x = 4(11 + -1x)
-6 + 6x = (11 * 4 + -1x * 4)
-6 + 6x = (44 + -4x)

Solving
-6 + 6x = 44 + -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.
-6 + 6x + 4x = 44 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-6 + 10x = 44 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 10x = 44 + 0
-6 + 10x = 44

Add '6' to each side of the equation.
-6 + 6 + 10x = 44 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 44 + 6
10x = 44 + 6

Combine like terms: 44 + 6 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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