12(x-5)-(7x-4)=x+3(2+4x-6)+8

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Solution for 12(x-5)-(7x-4)=x+3(2+4x-6)+8 equation:


Simplifying
12(x + -5) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8

Reorder the terms:
12(-5 + x) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8
(-5 * 12 + x * 12) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8
(-60 + 12x) + -1(7x + -4) = x + 3(2 + 4x + -6) + 8

Reorder the terms:
-60 + 12x + -1(-4 + 7x) = x + 3(2 + 4x + -6) + 8
-60 + 12x + (-4 * -1 + 7x * -1) = x + 3(2 + 4x + -6) + 8
-60 + 12x + (4 + -7x) = x + 3(2 + 4x + -6) + 8

Reorder the terms:
-60 + 4 + 12x + -7x = x + 3(2 + 4x + -6) + 8

Combine like terms: -60 + 4 = -56
-56 + 12x + -7x = x + 3(2 + 4x + -6) + 8

Combine like terms: 12x + -7x = 5x
-56 + 5x = x + 3(2 + 4x + -6) + 8

Reorder the terms:
-56 + 5x = x + 3(2 + -6 + 4x) + 8

Combine like terms: 2 + -6 = -4
-56 + 5x = x + 3(-4 + 4x) + 8
-56 + 5x = x + (-4 * 3 + 4x * 3) + 8
-56 + 5x = x + (-12 + 12x) + 8

Reorder the terms:
-56 + 5x = -12 + 8 + x + 12x

Combine like terms: -12 + 8 = -4
-56 + 5x = -4 + x + 12x

Combine like terms: x + 12x = 13x
-56 + 5x = -4 + 13x

Solving
-56 + 5x = -4 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-56 + 5x + -13x = -4 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-56 + -8x = -4 + 13x + -13x

Combine like terms: 13x + -13x = 0
-56 + -8x = -4 + 0
-56 + -8x = -4

Add '56' to each side of the equation.
-56 + 56 + -8x = -4 + 56

Combine like terms: -56 + 56 = 0
0 + -8x = -4 + 56
-8x = -4 + 56

Combine like terms: -4 + 56 = 52
-8x = 52

Divide each side by '-8'.
x = -6.5

Simplifying
x = -6.5

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