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

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


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

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

Reorder the terms:
8 + 4x + -3(-3 + 2x) = x + -1
8 + 4x + (-3 * -3 + 2x * -3) = x + -1
8 + 4x + (9 + -6x) = x + -1

Reorder the terms:
8 + 9 + 4x + -6x = x + -1

Combine like terms: 8 + 9 = 17
17 + 4x + -6x = x + -1

Combine like terms: 4x + -6x = -2x
17 + -2x = x + -1

Reorder the terms:
17 + -2x = -1 + x

Solving
17 + -2x = -1 + x

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.
17 + -2x + -1x = -1 + x + -1x

Combine like terms: -2x + -1x = -3x
17 + -3x = -1 + x + -1x

Combine like terms: x + -1x = 0
17 + -3x = -1 + 0
17 + -3x = -1

Add '-17' to each side of the equation.
17 + -17 + -3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -1 + -17
-3x = -1 + -17

Combine like terms: -1 + -17 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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