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

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


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

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

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

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

Reorder the terms:
9 + 1x = 6(3 + x)
9 + 1x = (3 * 6 + x * 6)
9 + 1x = (18 + 6x)

Solving
9 + 1x = 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 + 1x + -6x = 18 + 6x + -6x

Combine like terms: 1x + -6x = -5x
9 + -5x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -5x = 18 + 0
9 + -5x = 18

Add '-9' to each side of the equation.
9 + -9 + -5x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 18 + -9
-5x = 18 + -9

Combine like terms: 18 + -9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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