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

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


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

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

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

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

Reorder the terms:
-4 + -7x = -3(3 + 2x)
-4 + -7x = (3 * -3 + 2x * -3)
-4 + -7x = (-9 + -6x)

Solving
-4 + -7x = -9 + -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.
-4 + -7x + 6x = -9 + -6x + 6x

Combine like terms: -7x + 6x = -1x
-4 + -1x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + -1x = -9 + 0
-4 + -1x = -9

Add '4' to each side of the equation.
-4 + 4 + -1x = -9 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -9 + 4
-1x = -9 + 4

Combine like terms: -9 + 4 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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