3(x+2)=4(2x-2)-1

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


Simplifying
3(x + 2) = 4(2x + -2) + -1

Reorder the terms:
3(2 + x) = 4(2x + -2) + -1
(2 * 3 + x * 3) = 4(2x + -2) + -1
(6 + 3x) = 4(2x + -2) + -1

Reorder the terms:
6 + 3x = 4(-2 + 2x) + -1
6 + 3x = (-2 * 4 + 2x * 4) + -1
6 + 3x = (-8 + 8x) + -1

Reorder the terms:
6 + 3x = -8 + -1 + 8x

Combine like terms: -8 + -1 = -9
6 + 3x = -9 + 8x

Solving
6 + 3x = -9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 3x + -8x = -9 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -9 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -9 + 0
6 + -5x = -9

Add '-6' to each side of the equation.
6 + -6 + -5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -9 + -6
-5x = -9 + -6

Combine like terms: -9 + -6 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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