50+2(3x-15)+x=8x+10

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Solution for 50+2(3x-15)+x=8x+10 equation:


Simplifying
50 + 2(3x + -15) + x = 8x + 10

Reorder the terms:
50 + 2(-15 + 3x) + x = 8x + 10
50 + (-15 * 2 + 3x * 2) + x = 8x + 10
50 + (-30 + 6x) + x = 8x + 10

Combine like terms: 50 + -30 = 20
20 + 6x + x = 8x + 10

Combine like terms: 6x + x = 7x
20 + 7x = 8x + 10

Reorder the terms:
20 + 7x = 10 + 8x

Solving
20 + 7x = 10 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 7x + -8x = 10 + 8x + -8x

Combine like terms: 7x + -8x = -1x
20 + -1x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -1x = 10 + 0
20 + -1x = 10

Add '-20' to each side of the equation.
20 + -20 + -1x = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 10 + -20
-1x = 10 + -20

Combine like terms: 10 + -20 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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