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

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


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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 2x + -1x = -4(x + -1)

Combine like terms: 2x + -1x = 1x
-8 + 1x = -4(x + -1)

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

Solving
-8 + 1x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 1x + 4x = 4 + -4x + 4x

Combine like terms: 1x + 4x = 5x
-8 + 5x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 5x = 4 + 0
-8 + 5x = 4

Add '8' to each side of the equation.
-8 + 8 + 5x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 4 + 8
5x = 4 + 8

Combine like terms: 4 + 8 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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