11(2x+15)=7x-15+60+x

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Solution for 11(2x+15)=7x-15+60+x equation:


Simplifying
11(2x + 15) = 7x + -15 + 60 + x

Reorder the terms:
11(15 + 2x) = 7x + -15 + 60 + x
(15 * 11 + 2x * 11) = 7x + -15 + 60 + x
(165 + 22x) = 7x + -15 + 60 + x

Reorder the terms:
165 + 22x = -15 + 60 + 7x + x

Combine like terms: -15 + 60 = 45
165 + 22x = 45 + 7x + x

Combine like terms: 7x + x = 8x
165 + 22x = 45 + 8x

Solving
165 + 22x = 45 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
165 + 22x + -8x = 45 + 8x + -8x

Combine like terms: 22x + -8x = 14x
165 + 14x = 45 + 8x + -8x

Combine like terms: 8x + -8x = 0
165 + 14x = 45 + 0
165 + 14x = 45

Add '-165' to each side of the equation.
165 + -165 + 14x = 45 + -165

Combine like terms: 165 + -165 = 0
0 + 14x = 45 + -165
14x = 45 + -165

Combine like terms: 45 + -165 = -120
14x = -120

Divide each side by '14'.
x = -8.571428571

Simplifying
x = -8.571428571

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