18(2x-10)-50=20(5x-3)+15x

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Solution for 18(2x-10)-50=20(5x-3)+15x equation:


Simplifying
18(2x + -10) + -50 = 20(5x + -3) + 15x

Reorder the terms:
18(-10 + 2x) + -50 = 20(5x + -3) + 15x
(-10 * 18 + 2x * 18) + -50 = 20(5x + -3) + 15x
(-180 + 36x) + -50 = 20(5x + -3) + 15x

Reorder the terms:
-180 + -50 + 36x = 20(5x + -3) + 15x

Combine like terms: -180 + -50 = -230
-230 + 36x = 20(5x + -3) + 15x

Reorder the terms:
-230 + 36x = 20(-3 + 5x) + 15x
-230 + 36x = (-3 * 20 + 5x * 20) + 15x
-230 + 36x = (-60 + 100x) + 15x

Combine like terms: 100x + 15x = 115x
-230 + 36x = -60 + 115x

Solving
-230 + 36x = -60 + 115x

Solving for variable 'x'.

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

Add '-115x' to each side of the equation.
-230 + 36x + -115x = -60 + 115x + -115x

Combine like terms: 36x + -115x = -79x
-230 + -79x = -60 + 115x + -115x

Combine like terms: 115x + -115x = 0
-230 + -79x = -60 + 0
-230 + -79x = -60

Add '230' to each side of the equation.
-230 + 230 + -79x = -60 + 230

Combine like terms: -230 + 230 = 0
0 + -79x = -60 + 230
-79x = -60 + 230

Combine like terms: -60 + 230 = 170
-79x = 170

Divide each side by '-79'.
x = -2.151898734

Simplifying
x = -2.151898734

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