10(x+5)=3(x+33)

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Solution for 10(x+5)=3(x+33) equation: 


Simplifying
10(x + 5) = 3(x + 33)

Reorder the terms:
10(5 + x) = 3(x + 33)
(5 * 10 + x * 10) = 3(x + 33)
(50 + 10x) = 3(x + 33)

Reorder the terms:
50 + 10x = 3(33 + x)
50 + 10x = (33 * 3 + x * 3)
50 + 10x = (99 + 3x)

Solving
50 + 10x = 99 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
50 + 10x + -3x = 99 + 3x + -3x

Combine like terms: 10x + -3x = 7x
50 + 7x = 99 + 3x + -3x

Combine like terms: 3x + -3x = 0
50 + 7x = 99 + 0
50 + 7x = 99

Add '-50' to each side of the equation.
50 + -50 + 7x = 99 + -50

Combine like terms: 50 + -50 = 0
0 + 7x = 99 + -50
7x = 99 + -50

Combine like terms: 99 + -50 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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