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

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


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

Reorder the terms:
3(-3 + 2x) = -4x + 11
(-3 * 3 + 2x * 3) = -4x + 11
(-9 + 6x) = -4x + 11

Reorder the terms:
-9 + 6x = 11 + -4x

Solving
-9 + 6x = 11 + -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.
-9 + 6x + 4x = 11 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-9 + 10x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 10x = 11 + 0
-9 + 10x = 11

Add '9' to each side of the equation.
-9 + 9 + 10x = 11 + 9

Combine like terms: -9 + 9 = 0
0 + 10x = 11 + 9
10x = 11 + 9

Combine like terms: 11 + 9 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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