2(5x-9)+3x+8=180

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Solution for 2(5x-9)+3x+8=180 equation:


Simplifying
2(5x + -9) + 3x + 8 = 180

Reorder the terms:
2(-9 + 5x) + 3x + 8 = 180
(-9 * 2 + 5x * 2) + 3x + 8 = 180
(-18 + 10x) + 3x + 8 = 180

Reorder the terms:
-18 + 8 + 10x + 3x = 180

Combine like terms: -18 + 8 = -10
-10 + 10x + 3x = 180

Combine like terms: 10x + 3x = 13x
-10 + 13x = 180

Solving
-10 + 13x = 180

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 + 13x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 180 + 10
13x = 180 + 10

Combine like terms: 180 + 10 = 190
13x = 190

Divide each side by '13'.
x = 14.61538462

Simplifying
x = 14.61538462

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