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

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


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

Reorder the terms:
3(-3 + x) + 7 = 5(2x + -6)
(-3 * 3 + x * 3) + 7 = 5(2x + -6)
(-9 + 3x) + 7 = 5(2x + -6)

Reorder the terms:
-9 + 7 + 3x = 5(2x + -6)

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

Reorder the terms:
-2 + 3x = 5(-6 + 2x)
-2 + 3x = (-6 * 5 + 2x * 5)
-2 + 3x = (-30 + 10x)

Solving
-2 + 3x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-2 + 3x + -10x = -30 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-2 + -7x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2 + -7x = -30 + 0
-2 + -7x = -30

Add '2' to each side of the equation.
-2 + 2 + -7x = -30 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -30 + 2
-7x = -30 + 2

Combine like terms: -30 + 2 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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