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

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


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

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

Combine like terms: 3x + 5x = 8x
-9 + 8x = 6x + 7

Reorder the terms:
-9 + 8x = 7 + 6x

Solving
-9 + 8x = 7 + 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.
-9 + 8x + -6x = 7 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-9 + 2x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + 2x = 7 + 0
-9 + 2x = 7

Add '9' to each side of the equation.
-9 + 9 + 2x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 7 + 9
2x = 7 + 9

Combine like terms: 7 + 9 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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