6(x+5)-15=2x-9+10

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Solution for 6(x+5)-15=2x-9+10 equation: 


Simplifying
6(x + 5) + -15 = 2x + -9 + 10

Reorder the terms:
6(5 + x) + -15 = 2x + -9 + 10
(5 * 6 + x * 6) + -15 = 2x + -9 + 10
(30 + 6x) + -15 = 2x + -9 + 10

Reorder the terms:
30 + -15 + 6x = 2x + -9 + 10

Combine like terms: 30 + -15 = 15
15 + 6x = 2x + -9 + 10

Reorder the terms:
15 + 6x = -9 + 10 + 2x

Combine like terms: -9 + 10 = 1
15 + 6x = 1 + 2x

Solving
15 + 6x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
15 + 4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 4x = 1 + 0
15 + 4x = 1

Add '-15' to each side of the equation.
15 + -15 + 4x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 1 + -15
4x = 1 + -15

Combine like terms: 1 + -15 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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