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

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


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

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

Combine like terms: 7 + 2 = 9
9 + 5x + -3x = 3(2x + 6)

Combine like terms: 5x + -3x = 2x
9 + 2x = 3(2x + 6)

Reorder the terms:
9 + 2x = 3(6 + 2x)
9 + 2x = (6 * 3 + 2x * 3)
9 + 2x = (18 + 6x)

Solving
9 + 2x = 18 + 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 + 2x + -6x = 18 + 6x + -6x

Combine like terms: 2x + -6x = -4x
9 + -4x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -4x = 18 + 0
9 + -4x = 18

Add '-9' to each side of the equation.
9 + -9 + -4x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 18 + -9
-4x = 18 + -9

Combine like terms: 18 + -9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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