10(x+6)=3(x+30)+4x-5

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Solution for 10(x+6)=3(x+30)+4x-5 equation: 


Simplifying
10(x + 6) = 3(x + 30) + 4x + -5

Reorder the terms:
10(6 + x) = 3(x + 30) + 4x + -5
(6 * 10 + x * 10) = 3(x + 30) + 4x + -5
(60 + 10x) = 3(x + 30) + 4x + -5

Reorder the terms:
60 + 10x = 3(30 + x) + 4x + -5
60 + 10x = (30 * 3 + x * 3) + 4x + -5
60 + 10x = (90 + 3x) + 4x + -5

Reorder the terms:
60 + 10x = 90 + -5 + 3x + 4x

Combine like terms: 90 + -5 = 85
60 + 10x = 85 + 3x + 4x

Combine like terms: 3x + 4x = 7x
60 + 10x = 85 + 7x

Solving
60 + 10x = 85 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
60 + 10x + -7x = 85 + 7x + -7x

Combine like terms: 10x + -7x = 3x
60 + 3x = 85 + 7x + -7x

Combine like terms: 7x + -7x = 0
60 + 3x = 85 + 0
60 + 3x = 85

Add '-60' to each side of the equation.
60 + -60 + 3x = 85 + -60

Combine like terms: 60 + -60 = 0
0 + 3x = 85 + -60
3x = 85 + -60

Combine like terms: 85 + -60 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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