2(3x+3)+7=8x-5

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Solution for 2(3x+3)+7=8x-5 equation:


Simplifying
2(3x + 3) + 7 = 8x + -5

Reorder the terms:
2(3 + 3x) + 7 = 8x + -5
(3 * 2 + 3x * 2) + 7 = 8x + -5
(6 + 6x) + 7 = 8x + -5

Reorder the terms:
6 + 7 + 6x = 8x + -5

Combine like terms: 6 + 7 = 13
13 + 6x = 8x + -5

Reorder the terms:
13 + 6x = -5 + 8x

Solving
13 + 6x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + 6x + -8x = -5 + 8x + -8x

Combine like terms: 6x + -8x = -2x
13 + -2x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + -2x = -5 + 0
13 + -2x = -5

Add '-13' to each side of the equation.
13 + -13 + -2x = -5 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -5 + -13
-2x = -5 + -13

Combine like terms: -5 + -13 = -18
-2x = -18

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

Simplifying
x = 9

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