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

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


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

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

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

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

Reorder the terms:
2 + -5x = 3(-4 + x)
2 + -5x = (-4 * 3 + x * 3)
2 + -5x = (-12 + 3x)

Solving
2 + -5x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -5x + -3x = -12 + 3x + -3x

Combine like terms: -5x + -3x = -8x
2 + -8x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -8x = -12 + 0
2 + -8x = -12

Add '-2' to each side of the equation.
2 + -2 + -8x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -12 + -2
-8x = -12 + -2

Combine like terms: -12 + -2 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75

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