5(2x+4)=(3x+7)

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Solution for 5(2x+4)=(3x+7) equation:


Simplifying
5(2x + 4) = (3x + 7)

Reorder the terms:
5(4 + 2x) = (3x + 7)
(4 * 5 + 2x * 5) = (3x + 7)
(20 + 10x) = (3x + 7)

Reorder the terms:
20 + 10x = (7 + 3x)

Remove parenthesis around (7 + 3x)
20 + 10x = 7 + 3x

Solving
20 + 10x = 7 + 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.
20 + 10x + -3x = 7 + 3x + -3x

Combine like terms: 10x + -3x = 7x
20 + 7x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 7x = 7 + 0
20 + 7x = 7

Add '-20' to each side of the equation.
20 + -20 + 7x = 7 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = 7 + -20
7x = 7 + -20

Combine like terms: 7 + -20 = -13
7x = -13

Divide each side by '7'.
x = -1.857142857

Simplifying
x = -1.857142857

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