-3(x+2)=6x-7+3(3x+5)

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Solution for -3(x+2)=6x-7+3(3x+5) equation:


Simplifying
-3(x + 2) = 6x + -7 + 3(3x + 5)

Reorder the terms:
-3(2 + x) = 6x + -7 + 3(3x + 5)
(2 * -3 + x * -3) = 6x + -7 + 3(3x + 5)
(-6 + -3x) = 6x + -7 + 3(3x + 5)

Reorder the terms:
-6 + -3x = 6x + -7 + 3(5 + 3x)
-6 + -3x = 6x + -7 + (5 * 3 + 3x * 3)
-6 + -3x = 6x + -7 + (15 + 9x)

Reorder the terms:
-6 + -3x = -7 + 15 + 6x + 9x

Combine like terms: -7 + 15 = 8
-6 + -3x = 8 + 6x + 9x

Combine like terms: 6x + 9x = 15x
-6 + -3x = 8 + 15x

Solving
-6 + -3x = 8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + -3x + -15x = 8 + 15x + -15x

Combine like terms: -3x + -15x = -18x
-6 + -18x = 8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -18x = 8 + 0
-6 + -18x = 8

Add '6' to each side of the equation.
-6 + 6 + -18x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = 8 + 6
-18x = 8 + 6

Combine like terms: 8 + 6 = 14
-18x = 14

Divide each side by '-18'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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