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

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


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

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

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

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

Combine like terms: -3 + -12 = -15
-15 + 6x + -4x = 2(4 + -1x)

Combine like terms: 6x + -4x = 2x
-15 + 2x = 2(4 + -1x)
-15 + 2x = (4 * 2 + -1x * 2)
-15 + 2x = (8 + -2x)

Solving
-15 + 2x = 8 + -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.
-15 + 2x + 2x = 8 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-15 + 4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 4x = 8 + 0
-15 + 4x = 8

Add '15' to each side of the equation.
-15 + 15 + 4x = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 8 + 15
4x = 8 + 15

Combine like terms: 8 + 15 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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