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

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


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

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

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

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

Reorder the terms:
-3 + -7x = -2(2 + 3x)
-3 + -7x = (2 * -2 + 3x * -2)
-3 + -7x = (-4 + -6x)

Solving
-3 + -7x = -4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3 + -7x + 6x = -4 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-3 + -1x = -4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + -1x = -4 + 0
-3 + -1x = -4

Add '3' to each side of the equation.
-3 + 3 + -1x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -4 + 3
-1x = -4 + 3

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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