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

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


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

Reorder the terms:
-3(1 + 2x) = 3(x + 4) + 3
(1 * -3 + 2x * -3) = 3(x + 4) + 3
(-3 + -6x) = 3(x + 4) + 3

Reorder the terms:
-3 + -6x = 3(4 + x) + 3
-3 + -6x = (4 * 3 + x * 3) + 3
-3 + -6x = (12 + 3x) + 3

Reorder the terms:
-3 + -6x = 12 + 3 + 3x

Combine like terms: 12 + 3 = 15
-3 + -6x = 15 + 3x

Solving
-3 + -6x = 15 + 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.
-3 + -6x + -3x = 15 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-3 + -9x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + -9x = 15 + 0
-3 + -9x = 15

Add '3' to each side of the equation.
-3 + 3 + -9x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = 15 + 3
-9x = 15 + 3

Combine like terms: 15 + 3 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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