3(x-2)+7(x-2)=30

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Solution for 3(x-2)+7(x-2)=30 equation:


Simplifying
3(x + -2) + 7(x + -2) = 30

Reorder the terms:
3(-2 + x) + 7(x + -2) = 30
(-2 * 3 + x * 3) + 7(x + -2) = 30
(-6 + 3x) + 7(x + -2) = 30

Reorder the terms:
-6 + 3x + 7(-2 + x) = 30
-6 + 3x + (-2 * 7 + x * 7) = 30
-6 + 3x + (-14 + 7x) = 30

Reorder the terms:
-6 + -14 + 3x + 7x = 30

Combine like terms: -6 + -14 = -20
-20 + 3x + 7x = 30

Combine like terms: 3x + 7x = 10x
-20 + 10x = 30

Solving
-20 + 10x = 30

Solving for variable 'x'.

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

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

Combine like terms: -20 + 20 = 0
0 + 10x = 30 + 20
10x = 30 + 20

Combine like terms: 30 + 20 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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