10(x+3)-2x=6(x+5)

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Solution for 10(x+3)-2x=6(x+5) equation:


Simplifying
10(x + 3) + -2x = 6(x + 5)

Reorder the terms:
10(3 + x) + -2x = 6(x + 5)
(3 * 10 + x * 10) + -2x = 6(x + 5)
(30 + 10x) + -2x = 6(x + 5)

Combine like terms: 10x + -2x = 8x
30 + 8x = 6(x + 5)

Reorder the terms:
30 + 8x = 6(5 + x)
30 + 8x = (5 * 6 + x * 6)
30 + 8x = (30 + 6x)

Add '-30' to each side of the equation.
30 + -30 + 8x = 30 + -30 + 6x

Combine like terms: 30 + -30 = 0
0 + 8x = 30 + -30 + 6x
8x = 30 + -30 + 6x

Combine like terms: 30 + -30 = 0
8x = 0 + 6x
8x = 6x

Solving
8x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8x + -6x = 6x + -6x

Combine like terms: 8x + -6x = 2x
2x = 6x + -6x

Combine like terms: 6x + -6x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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