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

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


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

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

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

Solving
-10 + 2x = 30 + 18x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -18x = -16x
-10 + -16x = 30 + 18x + -18x

Combine like terms: 18x + -18x = 0
-10 + -16x = 30 + 0
-10 + -16x = 30

Add '10' to each side of the equation.
-10 + 10 + -16x = 30 + 10

Combine like terms: -10 + 10 = 0
0 + -16x = 30 + 10
-16x = 30 + 10

Combine like terms: 30 + 10 = 40
-16x = 40

Divide each side by '-16'.
x = -2.5

Simplifying
x = -2.5

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