2(x-5)-3(x-15)=5

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Solution for 2(x-5)-3(x-15)=5 equation: 


Simplifying
2(x + -5) + -3(x + -15) = 5

Reorder the terms:
2(-5 + x) + -3(x + -15) = 5
(-5 * 2 + x * 2) + -3(x + -15) = 5
(-10 + 2x) + -3(x + -15) = 5

Reorder the terms:
-10 + 2x + -3(-15 + x) = 5
-10 + 2x + (-15 * -3 + x * -3) = 5
-10 + 2x + (45 + -3x) = 5

Reorder the terms:
-10 + 45 + 2x + -3x = 5

Combine like terms: -10 + 45 = 35
35 + 2x + -3x = 5

Combine like terms: 2x + -3x = -1x
35 + -1x = 5

Solving
35 + -1x = 5

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 5 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 5 + -35
-1x = 5 + -35

Combine like terms: 5 + -35 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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