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

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


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

Reorder the terms:
6(5 + 3x) = 10x + -2
(5 * 6 + 3x * 6) = 10x + -2
(30 + 18x) = 10x + -2

Reorder the terms:
30 + 18x = -2 + 10x

Solving
30 + 18x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
30 + 18x + -10x = -2 + 10x + -10x

Combine like terms: 18x + -10x = 8x
30 + 8x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + 8x = -2 + 0
30 + 8x = -2

Add '-30' to each side of the equation.
30 + -30 + 8x = -2 + -30

Combine like terms: 30 + -30 = 0
0 + 8x = -2 + -30
8x = -2 + -30

Combine like terms: -2 + -30 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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