3(x-3)-1(x+2)+10=0

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Solution for 3(x-3)-1(x+2)+10=0 equation:


Simplifying
3(x + -3) + -1(x + 2) + 10 = 0

Reorder the terms:
3(-3 + x) + -1(x + 2) + 10 = 0
(-3 * 3 + x * 3) + -1(x + 2) + 10 = 0
(-9 + 3x) + -1(x + 2) + 10 = 0

Reorder the terms:
-9 + 3x + -1(2 + x) + 10 = 0
-9 + 3x + (2 * -1 + x * -1) + 10 = 0
-9 + 3x + (-2 + -1x) + 10 = 0

Reorder the terms:
-9 + -2 + 10 + 3x + -1x = 0

Combine like terms: -9 + -2 = -11
-11 + 10 + 3x + -1x = 0

Combine like terms: -11 + 10 = -1
-1 + 3x + -1x = 0

Combine like terms: 3x + -1x = 2x
-1 + 2x = 0

Solving
-1 + 2x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 0 + 1
2x = 0 + 1

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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