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

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


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

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

Combine like terms: 3x + x = 4x
-12 + 4x = 2(x + 3) + -2(x + -1)

Reorder the terms:
-12 + 4x = 2(3 + x) + -2(x + -1)
-12 + 4x = (3 * 2 + x * 2) + -2(x + -1)
-12 + 4x = (6 + 2x) + -2(x + -1)

Reorder the terms:
-12 + 4x = 6 + 2x + -2(-1 + x)
-12 + 4x = 6 + 2x + (-1 * -2 + x * -2)
-12 + 4x = 6 + 2x + (2 + -2x)

Reorder the terms:
-12 + 4x = 6 + 2 + 2x + -2x

Combine like terms: 6 + 2 = 8
-12 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 4x = 8 + 0
-12 + 4x = 8

Solving
-12 + 4x = 8

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 4x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 8 + 12
4x = 8 + 12

Combine like terms: 8 + 12 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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