5(2x+4)=3(x+5)-15

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Solution for 5(2x+4)=3(x+5)-15 equation:


Simplifying
5(2x + 4) = 3(x + 5) + -15

Reorder the terms:
5(4 + 2x) = 3(x + 5) + -15
(4 * 5 + 2x * 5) = 3(x + 5) + -15
(20 + 10x) = 3(x + 5) + -15

Reorder the terms:
20 + 10x = 3(5 + x) + -15
20 + 10x = (5 * 3 + x * 3) + -15
20 + 10x = (15 + 3x) + -15

Reorder the terms:
20 + 10x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0
20 + 10x = 0 + 3x
20 + 10x = 3x

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

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

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

Add '-20' to each side of the equation.
20 + -20 + 7x = 0 + -20

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

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

Divide each side by '7'.
x = -2.857142857

Simplifying
x = -2.857142857

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