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

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


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

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

Combine like terms: 4x + 3x = 7x
-4 + 7x = -2(x + 1)

Reorder the terms:
-4 + 7x = -2(1 + x)
-4 + 7x = (1 * -2 + x * -2)
-4 + 7x = (-2 + -2x)

Solving
-4 + 7x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 7x + 2x = -2 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-4 + 9x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 9x = -2 + 0
-4 + 9x = -2

Add '4' to each side of the equation.
-4 + 4 + 9x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = -2 + 4
9x = -2 + 4

Combine like terms: -2 + 4 = 2
9x = 2

Divide each side by '9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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