12x-3(2+4x)+5x+2=4(x+1)-2(3x-1)+2x

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Solution for 12x-3(2+4x)+5x+2=4(x+1)-2(3x-1)+2x equation:


Simplifying
12x + -3(2 + 4x) + 5x + 2 = 4(x + 1) + -2(3x + -1) + 2x
12x + (2 * -3 + 4x * -3) + 5x + 2 = 4(x + 1) + -2(3x + -1) + 2x
12x + (-6 + -12x) + 5x + 2 = 4(x + 1) + -2(3x + -1) + 2x

Reorder the terms:
-6 + 2 + 12x + -12x + 5x = 4(x + 1) + -2(3x + -1) + 2x

Combine like terms: -6 + 2 = -4
-4 + 12x + -12x + 5x = 4(x + 1) + -2(3x + -1) + 2x

Combine like terms: 12x + -12x = 0
-4 + 0 + 5x = 4(x + 1) + -2(3x + -1) + 2x
-4 + 5x = 4(x + 1) + -2(3x + -1) + 2x

Reorder the terms:
-4 + 5x = 4(1 + x) + -2(3x + -1) + 2x
-4 + 5x = (1 * 4 + x * 4) + -2(3x + -1) + 2x
-4 + 5x = (4 + 4x) + -2(3x + -1) + 2x

Reorder the terms:
-4 + 5x = 4 + 4x + -2(-1 + 3x) + 2x
-4 + 5x = 4 + 4x + (-1 * -2 + 3x * -2) + 2x
-4 + 5x = 4 + 4x + (2 + -6x) + 2x

Reorder the terms:
-4 + 5x = 4 + 2 + 4x + -6x + 2x

Combine like terms: 4 + 2 = 6
-4 + 5x = 6 + 4x + -6x + 2x

Combine like terms: 4x + -6x = -2x
-4 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = 6 + 0
-4 + 5x = 6

Solving
-4 + 5x = 6

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 6 + 4
5x = 6 + 4

Combine like terms: 6 + 4 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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