3(x-1)-4x=2-(4x+10)

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Solution for 3(x-1)-4x=2-(4x+10) equation:


Simplifying
3(x + -1) + -4x = 2 + -1(4x + 10)

Reorder the terms:
3(-1 + x) + -4x = 2 + -1(4x + 10)
(-1 * 3 + x * 3) + -4x = 2 + -1(4x + 10)
(-3 + 3x) + -4x = 2 + -1(4x + 10)

Combine like terms: 3x + -4x = -1x
-3 + -1x = 2 + -1(4x + 10)

Reorder the terms:
-3 + -1x = 2 + -1(10 + 4x)
-3 + -1x = 2 + (10 * -1 + 4x * -1)
-3 + -1x = 2 + (-10 + -4x)

Combine like terms: 2 + -10 = -8
-3 + -1x = -8 + -4x

Solving
-3 + -1x = -8 + -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.
-3 + -1x + 4x = -8 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-3 + 3x = -8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 3x = -8 + 0
-3 + 3x = -8

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

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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