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

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


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

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

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

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

Combine like terms: -3 + -2 = -5
-5 + 3x + -4x = 3(2x + -1) + -2(x + 3)

Combine like terms: 3x + -4x = -1x
-5 + -1x = 3(2x + -1) + -2(x + 3)

Reorder the terms:
-5 + -1x = 3(-1 + 2x) + -2(x + 3)
-5 + -1x = (-1 * 3 + 2x * 3) + -2(x + 3)
-5 + -1x = (-3 + 6x) + -2(x + 3)

Reorder the terms:
-5 + -1x = -3 + 6x + -2(3 + x)
-5 + -1x = -3 + 6x + (3 * -2 + x * -2)
-5 + -1x = -3 + 6x + (-6 + -2x)

Reorder the terms:
-5 + -1x = -3 + -6 + 6x + -2x

Combine like terms: -3 + -6 = -9
-5 + -1x = -9 + 6x + -2x

Combine like terms: 6x + -2x = 4x
-5 + -1x = -9 + 4x

Solving
-5 + -1x = -9 + 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.
-5 + -1x + -4x = -9 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-5 + -5x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -5x = -9 + 0
-5 + -5x = -9

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

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

Combine like terms: -9 + 5 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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