5(2x+4)=7x+9

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Solution for 5(2x+4)=7x+9 equation:


Simplifying
5(2x + 4) = 7x + 9

Reorder the terms:
5(4 + 2x) = 7x + 9
(4 * 5 + 2x * 5) = 7x + 9
(20 + 10x) = 7x + 9

Reorder the terms:
20 + 10x = 9 + 7x

Solving
20 + 10x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + 10x + -7x = 9 + 7x + -7x

Combine like terms: 10x + -7x = 3x
20 + 3x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + 3x = 9 + 0
20 + 3x = 9

Add '-20' to each side of the equation.
20 + -20 + 3x = 9 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = 9 + -20
3x = 9 + -20

Combine like terms: 9 + -20 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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