3(x-13)+2(x-7)=7

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Solution for 3(x-13)+2(x-7)=7 equation: 


Simplifying
3(x + -13) + 2(x + -7) = 7

Reorder the terms:
3(-13 + x) + 2(x + -7) = 7
(-13 * 3 + x * 3) + 2(x + -7) = 7
(-39 + 3x) + 2(x + -7) = 7

Reorder the terms:
-39 + 3x + 2(-7 + x) = 7
-39 + 3x + (-7 * 2 + x * 2) = 7
-39 + 3x + (-14 + 2x) = 7

Reorder the terms:
-39 + -14 + 3x + 2x = 7

Combine like terms: -39 + -14 = -53
-53 + 3x + 2x = 7

Combine like terms: 3x + 2x = 5x
-53 + 5x = 7

Solving
-53 + 5x = 7

Solving for variable 'x'.

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

Add '53' to each side of the equation.
-53 + 53 + 5x = 7 + 53

Combine like terms: -53 + 53 = 0
0 + 5x = 7 + 53
5x = 7 + 53

Combine like terms: 7 + 53 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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