3(4x-5)+1=(4x-1)-3(x-3)

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Solution for 3(4x-5)+1=(4x-1)-3(x-3) equation:


Simplifying
3(4x + -5) + 1 = (4x + -1) + -3(x + -3)

Reorder the terms:
3(-5 + 4x) + 1 = (4x + -1) + -3(x + -3)
(-5 * 3 + 4x * 3) + 1 = (4x + -1) + -3(x + -3)
(-15 + 12x) + 1 = (4x + -1) + -3(x + -3)

Reorder the terms:
-15 + 1 + 12x = (4x + -1) + -3(x + -3)

Combine like terms: -15 + 1 = -14
-14 + 12x = (4x + -1) + -3(x + -3)

Reorder the terms:
-14 + 12x = (-1 + 4x) + -3(x + -3)

Remove parenthesis around (-1 + 4x)
-14 + 12x = -1 + 4x + -3(x + -3)

Reorder the terms:
-14 + 12x = -1 + 4x + -3(-3 + x)
-14 + 12x = -1 + 4x + (-3 * -3 + x * -3)
-14 + 12x = -1 + 4x + (9 + -3x)

Reorder the terms:
-14 + 12x = -1 + 9 + 4x + -3x

Combine like terms: -1 + 9 = 8
-14 + 12x = 8 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-14 + 12x = 8 + 1x

Solving
-14 + 12x = 8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 12x + -1x = 8 + 1x + -1x

Combine like terms: 12x + -1x = 11x
-14 + 11x = 8 + 1x + -1x

Combine like terms: 1x + -1x = 0
-14 + 11x = 8 + 0
-14 + 11x = 8

Add '14' to each side of the equation.
-14 + 14 + 11x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 11x = 8 + 14
11x = 8 + 14

Combine like terms: 8 + 14 = 22
11x = 22

Divide each side by '11'.
x = 2

Simplifying
x = 2

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