7(x+4)=2(x+29)

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Solution for 7(x+4)=2(x+29) equation:


Simplifying
7(x + 4) = 2(x + 29)

Reorder the terms:
7(4 + x) = 2(x + 29)
(4 * 7 + x * 7) = 2(x + 29)
(28 + 7x) = 2(x + 29)

Reorder the terms:
28 + 7x = 2(29 + x)
28 + 7x = (29 * 2 + x * 2)
28 + 7x = (58 + 2x)

Solving
28 + 7x = 58 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
28 + 7x + -2x = 58 + 2x + -2x

Combine like terms: 7x + -2x = 5x
28 + 5x = 58 + 2x + -2x

Combine like terms: 2x + -2x = 0
28 + 5x = 58 + 0
28 + 5x = 58

Add '-28' to each side of the equation.
28 + -28 + 5x = 58 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = 58 + -28
5x = 58 + -28

Combine like terms: 58 + -28 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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