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

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


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

Reorder the terms:
7x + -3(5 + 2x) = 6 + -2(x + -3)
7x + (5 * -3 + 2x * -3) = 6 + -2(x + -3)
7x + (-15 + -6x) = 6 + -2(x + -3)

Reorder the terms:
-15 + 7x + -6x = 6 + -2(x + -3)

Combine like terms: 7x + -6x = 1x
-15 + 1x = 6 + -2(x + -3)

Reorder the terms:
-15 + 1x = 6 + -2(-3 + x)
-15 + 1x = 6 + (-3 * -2 + x * -2)
-15 + 1x = 6 + (6 + -2x)

Combine like terms: 6 + 6 = 12
-15 + 1x = 12 + -2x

Solving
-15 + 1x = 12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 1x + 2x = 12 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-15 + 3x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 3x = 12 + 0
-15 + 3x = 12

Add '15' to each side of the equation.
-15 + 15 + 3x = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 12 + 15
3x = 12 + 15

Combine like terms: 12 + 15 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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