5(4x+10)=3(5x+18)+16

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Solution for 5(4x+10)=3(5x+18)+16 equation:


Simplifying
5(4x + 10) = 3(5x + 18) + 16

Reorder the terms:
5(10 + 4x) = 3(5x + 18) + 16
(10 * 5 + 4x * 5) = 3(5x + 18) + 16
(50 + 20x) = 3(5x + 18) + 16

Reorder the terms:
50 + 20x = 3(18 + 5x) + 16
50 + 20x = (18 * 3 + 5x * 3) + 16
50 + 20x = (54 + 15x) + 16

Reorder the terms:
50 + 20x = 54 + 16 + 15x

Combine like terms: 54 + 16 = 70
50 + 20x = 70 + 15x

Solving
50 + 20x = 70 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
50 + 20x + -15x = 70 + 15x + -15x

Combine like terms: 20x + -15x = 5x
50 + 5x = 70 + 15x + -15x

Combine like terms: 15x + -15x = 0
50 + 5x = 70 + 0
50 + 5x = 70

Add '-50' to each side of the equation.
50 + -50 + 5x = 70 + -50

Combine like terms: 50 + -50 = 0
0 + 5x = 70 + -50
5x = 70 + -50

Combine like terms: 70 + -50 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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