4(1-12x)+8=3(2-10x)-12x

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Solution for 4(1-12x)+8=3(2-10x)-12x equation:


Simplifying
4(1 + -12x) + 8 = 3(2 + -10x) + -12x
(1 * 4 + -12x * 4) + 8 = 3(2 + -10x) + -12x
(4 + -48x) + 8 = 3(2 + -10x) + -12x

Reorder the terms:
4 + 8 + -48x = 3(2 + -10x) + -12x

Combine like terms: 4 + 8 = 12
12 + -48x = 3(2 + -10x) + -12x
12 + -48x = (2 * 3 + -10x * 3) + -12x
12 + -48x = (6 + -30x) + -12x

Combine like terms: -30x + -12x = -42x
12 + -48x = 6 + -42x

Solving
12 + -48x = 6 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
12 + -48x + 42x = 6 + -42x + 42x

Combine like terms: -48x + 42x = -6x
12 + -6x = 6 + -42x + 42x

Combine like terms: -42x + 42x = 0
12 + -6x = 6 + 0
12 + -6x = 6

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

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

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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