-3(x+3)=3x-9+2(2x+1)

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Solution for -3(x+3)=3x-9+2(2x+1) equation:


Simplifying
-3(x + 3) = 3x + -9 + 2(2x + 1)

Reorder the terms:
-3(3 + x) = 3x + -9 + 2(2x + 1)
(3 * -3 + x * -3) = 3x + -9 + 2(2x + 1)
(-9 + -3x) = 3x + -9 + 2(2x + 1)

Reorder the terms:
-9 + -3x = 3x + -9 + 2(1 + 2x)
-9 + -3x = 3x + -9 + (1 * 2 + 2x * 2)
-9 + -3x = 3x + -9 + (2 + 4x)

Reorder the terms:
-9 + -3x = -9 + 2 + 3x + 4x

Combine like terms: -9 + 2 = -7
-9 + -3x = -7 + 3x + 4x

Combine like terms: 3x + 4x = 7x
-9 + -3x = -7 + 7x

Solving
-9 + -3x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-9 + -3x + -7x = -7 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-9 + -10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -10x = -7 + 0
-9 + -10x = -7

Add '9' to each side of the equation.
-9 + 9 + -10x = -7 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = -7 + 9
-10x = -7 + 9

Combine like terms: -7 + 9 = 2
-10x = 2

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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