7+3(3x-6)=6-5(2x+1)

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Solution for 7+3(3x-6)=6-5(2x+1) equation:


Simplifying
7 + 3(3x + -6) = 6 + -5(2x + 1)

Reorder the terms:
7 + 3(-6 + 3x) = 6 + -5(2x + 1)
7 + (-6 * 3 + 3x * 3) = 6 + -5(2x + 1)
7 + (-18 + 9x) = 6 + -5(2x + 1)

Combine like terms: 7 + -18 = -11
-11 + 9x = 6 + -5(2x + 1)

Reorder the terms:
-11 + 9x = 6 + -5(1 + 2x)
-11 + 9x = 6 + (1 * -5 + 2x * -5)
-11 + 9x = 6 + (-5 + -10x)

Combine like terms: 6 + -5 = 1
-11 + 9x = 1 + -10x

Solving
-11 + 9x = 1 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-11 + 9x + 10x = 1 + -10x + 10x

Combine like terms: 9x + 10x = 19x
-11 + 19x = 1 + -10x + 10x

Combine like terms: -10x + 10x = 0
-11 + 19x = 1 + 0
-11 + 19x = 1

Add '11' to each side of the equation.
-11 + 11 + 19x = 1 + 11

Combine like terms: -11 + 11 = 0
0 + 19x = 1 + 11
19x = 1 + 11

Combine like terms: 1 + 11 = 12
19x = 12

Divide each side by '19'.
x = 0.6315789474

Simplifying
x = 0.6315789474

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