3(x+3)-5x=12-(6x-7)

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Solution for 3(x+3)-5x=12-(6x-7) equation:


Simplifying
3(x + 3) + -5x = 12 + -1(6x + -7)

Reorder the terms:
3(3 + x) + -5x = 12 + -1(6x + -7)
(3 * 3 + x * 3) + -5x = 12 + -1(6x + -7)
(9 + 3x) + -5x = 12 + -1(6x + -7)

Combine like terms: 3x + -5x = -2x
9 + -2x = 12 + -1(6x + -7)

Reorder the terms:
9 + -2x = 12 + -1(-7 + 6x)
9 + -2x = 12 + (-7 * -1 + 6x * -1)
9 + -2x = 12 + (7 + -6x)

Combine like terms: 12 + 7 = 19
9 + -2x = 19 + -6x

Solving
9 + -2x = 19 + -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 = 19 + -6x + 6x

Combine like terms: -2x + 6x = 4x
9 + 4x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
9 + 4x = 19 + 0
9 + 4x = 19

Add '-9' to each side of the equation.
9 + -9 + 4x = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 19 + -9
4x = 19 + -9

Combine like terms: 19 + -9 = 10
4x = 10

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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