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

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


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

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

Combine like terms: 10x + 8x = 18x
-30 + 18x = 2(8 + 10x)
-30 + 18x = (8 * 2 + 10x * 2)
-30 + 18x = (16 + 20x)

Solving
-30 + 18x = 16 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-30 + 18x + -20x = 16 + 20x + -20x

Combine like terms: 18x + -20x = -2x
-30 + -2x = 16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-30 + -2x = 16 + 0
-30 + -2x = 16

Add '30' to each side of the equation.
-30 + 30 + -2x = 16 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = 16 + 30
-2x = 16 + 30

Combine like terms: 16 + 30 = 46
-2x = 46

Divide each side by '-2'.
x = -23

Simplifying
x = -23

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