7x-2(3-4x)=12x-(x+4)

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Solution for 7x-2(3-4x)=12x-(x+4) equation:


Simplifying
7x + -2(3 + -4x) = 12x + -1(x + 4)
7x + (3 * -2 + -4x * -2) = 12x + -1(x + 4)
7x + (-6 + 8x) = 12x + -1(x + 4)

Reorder the terms:
-6 + 7x + 8x = 12x + -1(x + 4)

Combine like terms: 7x + 8x = 15x
-6 + 15x = 12x + -1(x + 4)

Reorder the terms:
-6 + 15x = 12x + -1(4 + x)
-6 + 15x = 12x + (4 * -1 + x * -1)
-6 + 15x = 12x + (-4 + -1x)

Reorder the terms:
-6 + 15x = -4 + 12x + -1x

Combine like terms: 12x + -1x = 11x
-6 + 15x = -4 + 11x

Solving
-6 + 15x = -4 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-6 + 15x + -11x = -4 + 11x + -11x

Combine like terms: 15x + -11x = 4x
-6 + 4x = -4 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + 4x = -4 + 0
-6 + 4x = -4

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

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

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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