4(x-3)-2x=10-2(3x-1)

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Solution for 4(x-3)-2x=10-2(3x-1) equation:


Simplifying
4(x + -3) + -2x = 10 + -2(3x + -1)

Reorder the terms:
4(-3 + x) + -2x = 10 + -2(3x + -1)
(-3 * 4 + x * 4) + -2x = 10 + -2(3x + -1)
(-12 + 4x) + -2x = 10 + -2(3x + -1)

Combine like terms: 4x + -2x = 2x
-12 + 2x = 10 + -2(3x + -1)

Reorder the terms:
-12 + 2x = 10 + -2(-1 + 3x)
-12 + 2x = 10 + (-1 * -2 + 3x * -2)
-12 + 2x = 10 + (2 + -6x)

Combine like terms: 10 + 2 = 12
-12 + 2x = 12 + -6x

Solving
-12 + 2x = 12 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-12 + 2x + 6x = 12 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-12 + 8x = 12 + 0
-12 + 8x = 12

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

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

Combine like terms: 12 + 12 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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