4(x+5)=(2x+5)+10

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Solution for 4(x+5)=(2x+5)+10 equation: 


Simplifying
4(x + 5) = (2x + 5) + 10

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

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

Remove parenthesis around (5 + 2x)
20 + 4x = 5 + 2x + 10

Reorder the terms:
20 + 4x = 5 + 10 + 2x

Combine like terms: 5 + 10 = 15
20 + 4x = 15 + 2x

Solving
20 + 4x = 15 + 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.
20 + 4x + -2x = 15 + 2x + -2x

Combine like terms: 4x + -2x = 2x
20 + 2x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + 2x = 15 + 0
20 + 2x = 15

Add '-20' to each side of the equation.
20 + -20 + 2x = 15 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = 15 + -20
2x = 15 + -20

Combine like terms: 15 + -20 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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