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

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


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

Reorder the terms:
7(-2 + x) + 3(x + -2) = 5(x + -6)
(-2 * 7 + x * 7) + 3(x + -2) = 5(x + -6)
(-14 + 7x) + 3(x + -2) = 5(x + -6)

Reorder the terms:
-14 + 7x + 3(-2 + x) = 5(x + -6)
-14 + 7x + (-2 * 3 + x * 3) = 5(x + -6)
-14 + 7x + (-6 + 3x) = 5(x + -6)

Reorder the terms:
-14 + -6 + 7x + 3x = 5(x + -6)

Combine like terms: -14 + -6 = -20
-20 + 7x + 3x = 5(x + -6)

Combine like terms: 7x + 3x = 10x
-20 + 10x = 5(x + -6)

Reorder the terms:
-20 + 10x = 5(-6 + x)
-20 + 10x = (-6 * 5 + x * 5)
-20 + 10x = (-30 + 5x)

Solving
-20 + 10x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + 10x + -5x = -30 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-20 + 5x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + 5x = -30 + 0
-20 + 5x = -30

Add '20' to each side of the equation.
-20 + 20 + 5x = -30 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -30 + 20
5x = -30 + 20

Combine like terms: -30 + 20 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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