3(x-5)-(2x-7)=25

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Solution for 3(x-5)-(2x-7)=25 equation:


Simplifying
3(x + -5) + -1(2x + -7) = 25

Reorder the terms:
3(-5 + x) + -1(2x + -7) = 25
(-5 * 3 + x * 3) + -1(2x + -7) = 25
(-15 + 3x) + -1(2x + -7) = 25

Reorder the terms:
-15 + 3x + -1(-7 + 2x) = 25
-15 + 3x + (-7 * -1 + 2x * -1) = 25
-15 + 3x + (7 + -2x) = 25

Reorder the terms:
-15 + 7 + 3x + -2x = 25

Combine like terms: -15 + 7 = -8
-8 + 3x + -2x = 25

Combine like terms: 3x + -2x = 1x
-8 + 1x = 25

Solving
-8 + 1x = 25

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 1x = 25 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 25 + 8
1x = 25 + 8

Combine like terms: 25 + 8 = 33
1x = 33

Divide each side by '1'.
x = 33

Simplifying
x = 33

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