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

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


Simplifying
3(x + -5) + -1(2x + -5) = 7

Reorder the terms:
3(-5 + x) + -1(2x + -5) = 7
(-5 * 3 + x * 3) + -1(2x + -5) = 7
(-15 + 3x) + -1(2x + -5) = 7

Reorder the terms:
-15 + 3x + -1(-5 + 2x) = 7
-15 + 3x + (-5 * -1 + 2x * -1) = 7
-15 + 3x + (5 + -2x) = 7

Reorder the terms:
-15 + 5 + 3x + -2x = 7

Combine like terms: -15 + 5 = -10
-10 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
-10 + 1x = 7

Solving
-10 + 1x = 7

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = 7 + 10
1x = 7 + 10

Combine like terms: 7 + 10 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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