3(x-8)-(2x-5)=32

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Solution for 3(x-8)-(2x-5)=32 equation:


Simplifying
3(x + -8) + -1(2x + -5) = 32

Reorder the terms:
3(-8 + x) + -1(2x + -5) = 32
(-8 * 3 + x * 3) + -1(2x + -5) = 32
(-24 + 3x) + -1(2x + -5) = 32

Reorder the terms:
-24 + 3x + -1(-5 + 2x) = 32
-24 + 3x + (-5 * -1 + 2x * -1) = 32
-24 + 3x + (5 + -2x) = 32

Reorder the terms:
-24 + 5 + 3x + -2x = 32

Combine like terms: -24 + 5 = -19
-19 + 3x + -2x = 32

Combine like terms: 3x + -2x = 1x
-19 + 1x = 32

Solving
-19 + 1x = 32

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 1x = 32 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = 32 + 19
1x = 32 + 19

Combine like terms: 32 + 19 = 51
1x = 51

Divide each side by '1'.
x = 51

Simplifying
x = 51

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