(13x-12)+3(2x+1)=(18x-3)

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Solution for (13x-12)+3(2x+1)=(18x-3) equation:


Simplifying
(13x + -12) + 3(2x + 1) = (18x + -3)

Reorder the terms:
(-12 + 13x) + 3(2x + 1) = (18x + -3)

Remove parenthesis around (-12 + 13x)
-12 + 13x + 3(2x + 1) = (18x + -3)

Reorder the terms:
-12 + 13x + 3(1 + 2x) = (18x + -3)
-12 + 13x + (1 * 3 + 2x * 3) = (18x + -3)
-12 + 13x + (3 + 6x) = (18x + -3)

Reorder the terms:
-12 + 3 + 13x + 6x = (18x + -3)

Combine like terms: -12 + 3 = -9
-9 + 13x + 6x = (18x + -3)

Combine like terms: 13x + 6x = 19x
-9 + 19x = (18x + -3)

Reorder the terms:
-9 + 19x = (-3 + 18x)

Remove parenthesis around (-3 + 18x)
-9 + 19x = -3 + 18x

Solving
-9 + 19x = -3 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-9 + 19x + -18x = -3 + 18x + -18x

Combine like terms: 19x + -18x = 1x
-9 + 1x = -3 + 18x + -18x

Combine like terms: 18x + -18x = 0
-9 + 1x = -3 + 0
-9 + 1x = -3

Add '9' to each side of the equation.
-9 + 9 + 1x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -3 + 9
1x = -3 + 9

Combine like terms: -3 + 9 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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