4(7x+2)=5(5x+6)

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Solution for 4(7x+2)=5(5x+6) equation:


Simplifying
4(7x + 2) = 5(5x + 6)

Reorder the terms:
4(2 + 7x) = 5(5x + 6)
(2 * 4 + 7x * 4) = 5(5x + 6)
(8 + 28x) = 5(5x + 6)

Reorder the terms:
8 + 28x = 5(6 + 5x)
8 + 28x = (6 * 5 + 5x * 5)
8 + 28x = (30 + 25x)

Solving
8 + 28x = 30 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
8 + 28x + -25x = 30 + 25x + -25x

Combine like terms: 28x + -25x = 3x
8 + 3x = 30 + 25x + -25x

Combine like terms: 25x + -25x = 0
8 + 3x = 30 + 0
8 + 3x = 30

Add '-8' to each side of the equation.
8 + -8 + 3x = 30 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 30 + -8
3x = 30 + -8

Combine like terms: 30 + -8 = 22
3x = 22

Divide each side by '3'.
x = 7.333333333

Simplifying
x = 7.333333333

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