(8x+3)-(10x-2)=180

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Solution for (8x+3)-(10x-2)=180 equation:


Simplifying
(8x + 3) + -1(10x + -2) = 180

Reorder the terms:
(3 + 8x) + -1(10x + -2) = 180

Remove parenthesis around (3 + 8x)
3 + 8x + -1(10x + -2) = 180

Reorder the terms:
3 + 8x + -1(-2 + 10x) = 180
3 + 8x + (-2 * -1 + 10x * -1) = 180
3 + 8x + (2 + -10x) = 180

Reorder the terms:
3 + 2 + 8x + -10x = 180

Combine like terms: 3 + 2 = 5
5 + 8x + -10x = 180

Combine like terms: 8x + -10x = -2x
5 + -2x = 180

Solving
5 + -2x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 180 + -5
-2x = 180 + -5

Combine like terms: 180 + -5 = 175
-2x = 175

Divide each side by '-2'.
x = -87.5

Simplifying
x = -87.5

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