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

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


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

Reorder the terms:
-3(-3 + 2x) + 3x = 7(x + 3)
(-3 * -3 + 2x * -3) + 3x = 7(x + 3)
(9 + -6x) + 3x = 7(x + 3)

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

Reorder the terms:
9 + -3x = 7(3 + x)
9 + -3x = (3 * 7 + x * 7)
9 + -3x = (21 + 7x)

Solving
9 + -3x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + -3x + -7x = 21 + 7x + -7x

Combine like terms: -3x + -7x = -10x
9 + -10x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -10x = 21 + 0
9 + -10x = 21

Add '-9' to each side of the equation.
9 + -9 + -10x = 21 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = 21 + -9
-10x = 21 + -9

Combine like terms: 21 + -9 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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