27x-7-5x=3(4x-3)+2

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Solution for 27x-7-5x=3(4x-3)+2 equation:


Simplifying
27x + -7 + -5x = 3(4x + -3) + 2

Reorder the terms:
-7 + 27x + -5x = 3(4x + -3) + 2

Combine like terms: 27x + -5x = 22x
-7 + 22x = 3(4x + -3) + 2

Reorder the terms:
-7 + 22x = 3(-3 + 4x) + 2
-7 + 22x = (-3 * 3 + 4x * 3) + 2
-7 + 22x = (-9 + 12x) + 2

Reorder the terms:
-7 + 22x = -9 + 2 + 12x

Combine like terms: -9 + 2 = -7
-7 + 22x = -7 + 12x

Add '7' to each side of the equation.
-7 + 7 + 22x = -7 + 7 + 12x

Combine like terms: -7 + 7 = 0
0 + 22x = -7 + 7 + 12x
22x = -7 + 7 + 12x

Combine like terms: -7 + 7 = 0
22x = 0 + 12x
22x = 12x

Solving
22x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
22x + -12x = 12x + -12x

Combine like terms: 22x + -12x = 10x
10x = 12x + -12x

Combine like terms: 12x + -12x = 0
10x = 0

Divide each side by '10'.
x = 0.0

Simplifying
x = 0.0

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