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

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Solution for 3(x-4)=2(-2x+1) equation:


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

Reorder the terms:
3(-4 + x) = 2(-2x + 1)
(-4 * 3 + x * 3) = 2(-2x + 1)
(-12 + 3x) = 2(-2x + 1)

Reorder the terms:
-12 + 3x = 2(1 + -2x)
-12 + 3x = (1 * 2 + -2x * 2)
-12 + 3x = (2 + -4x)

Solving
-12 + 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.
-12 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-12 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 7x = 2 + 0
-12 + 7x = 2

Add '12' to each side of the equation.
-12 + 12 + 7x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 2 + 12
7x = 2 + 12

Combine like terms: 2 + 12 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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