12x-(3-x)=7(5x-1)-18x

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Solution for 12x-(3-x)=7(5x-1)-18x equation:


Simplifying
12x + -1(3 + -1x) = 7(5x + -1) + -18x
12x + (3 * -1 + -1x * -1) = 7(5x + -1) + -18x
12x + (-3 + 1x) = 7(5x + -1) + -18x

Reorder the terms:
-3 + 12x + 1x = 7(5x + -1) + -18x

Combine like terms: 12x + 1x = 13x
-3 + 13x = 7(5x + -1) + -18x

Reorder the terms:
-3 + 13x = 7(-1 + 5x) + -18x
-3 + 13x = (-1 * 7 + 5x * 7) + -18x
-3 + 13x = (-7 + 35x) + -18x

Combine like terms: 35x + -18x = 17x
-3 + 13x = -7 + 17x

Solving
-3 + 13x = -7 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-3 + 13x + -17x = -7 + 17x + -17x

Combine like terms: 13x + -17x = -4x
-3 + -4x = -7 + 17x + -17x

Combine like terms: 17x + -17x = 0
-3 + -4x = -7 + 0
-3 + -4x = -7

Add '3' to each side of the equation.
-3 + 3 + -4x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -7 + 3
-4x = -7 + 3

Combine like terms: -7 + 3 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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