-3(x+3)=2x-7+2(5x+2)

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Solution for -3(x+3)=2x-7+2(5x+2) equation:


Simplifying
-3(x + 3) = 2x + -7 + 2(5x + 2)

Reorder the terms:
-3(3 + x) = 2x + -7 + 2(5x + 2)
(3 * -3 + x * -3) = 2x + -7 + 2(5x + 2)
(-9 + -3x) = 2x + -7 + 2(5x + 2)

Reorder the terms:
-9 + -3x = 2x + -7 + 2(2 + 5x)
-9 + -3x = 2x + -7 + (2 * 2 + 5x * 2)
-9 + -3x = 2x + -7 + (4 + 10x)

Reorder the terms:
-9 + -3x = -7 + 4 + 2x + 10x

Combine like terms: -7 + 4 = -3
-9 + -3x = -3 + 2x + 10x

Combine like terms: 2x + 10x = 12x
-9 + -3x = -3 + 12x

Solving
-9 + -3x = -3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + -3x + -12x = -3 + 12x + -12x

Combine like terms: -3x + -12x = -15x
-9 + -15x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + -15x = -3 + 0
-9 + -15x = -3

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

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

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

Divide each side by '-15'.
x = -0.4

Simplifying
x = -0.4

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