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

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


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

Reorder the terms:
-3(4 + x) = 2(2x + 1)
(4 * -3 + x * -3) = 2(2x + 1)
(-12 + -3x) = 2(2x + 1)

Reorder the terms:
-12 + -3x = 2(1 + 2x)
-12 + -3x = (1 * 2 + 2x * 2)
-12 + -3x = (2 + 4x)

Solving
-12 + -3x = 2 + 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.
-12 + -3x + -4x = 2 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-12 + -7x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + -7x = 2 + 0
-12 + -7x = 2

Add '12' to each side of the equation.
-12 + 12 + -7x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = 2 + 12
-7x = 2 + 12

Combine like terms: 2 + 12 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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