8x+7-3x=3(2x+5)-6

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Solution for 8x+7-3x=3(2x+5)-6 equation:


Simplifying
8x + 7 + -3x = 3(2x + 5) + -6

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

Combine like terms: 8x + -3x = 5x
7 + 5x = 3(2x + 5) + -6

Reorder the terms:
7 + 5x = 3(5 + 2x) + -6
7 + 5x = (5 * 3 + 2x * 3) + -6
7 + 5x = (15 + 6x) + -6

Reorder the terms:
7 + 5x = 15 + -6 + 6x

Combine like terms: 15 + -6 = 9
7 + 5x = 9 + 6x

Solving
7 + 5x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + 5x + -6x = 9 + 6x + -6x

Combine like terms: 5x + -6x = -1x
7 + -1x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -1x = 9 + 0
7 + -1x = 9

Add '-7' to each side of the equation.
7 + -7 + -1x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 9 + -7
-1x = 9 + -7

Combine like terms: 9 + -7 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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