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

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


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

Reorder the terms:
3(-4 + x) = 2(x + 11)
(-4 * 3 + x * 3) = 2(x + 11)
(-12 + 3x) = 2(x + 11)

Reorder the terms:
-12 + 3x = 2(11 + x)
-12 + 3x = (11 * 2 + x * 2)
-12 + 3x = (22 + 2x)

Solving
-12 + 3x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 3x + -2x = 22 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = 22 + 0
-12 + 1x = 22

Add '12' to each side of the equation.
-12 + 12 + 1x = 22 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 22 + 12
1x = 22 + 12

Combine like terms: 22 + 12 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34

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