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

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


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

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

Combine like terms: 4x + 2x = 6x
-4 + 6x = -3(x + 1)

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

Solving
-4 + 6x = -3 + -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.
-4 + 6x + 3x = -3 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-4 + 9x = -3 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 9x = -3 + 0
-4 + 9x = -3

Add '4' to each side of the equation.
-4 + 4 + 9x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = -3 + 4
9x = -3 + 4

Combine like terms: -3 + 4 = 1
9x = 1

Divide each side by '9'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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