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

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


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

Reorder the terms:
4(10 + x) + x = 2(x + 5) * 2
(10 * 4 + x * 4) + x = 2(x + 5) * 2
(40 + 4x) + x = 2(x + 5) * 2

Combine like terms: 4x + x = 5x
40 + 5x = 2(x + 5) * 2

Reorder the terms:
40 + 5x = 2(5 + x) * 2

Reorder the terms for easier multiplication:
40 + 5x = 2 * 2(5 + x)

Multiply 2 * 2
40 + 5x = 4(5 + x)
40 + 5x = (5 * 4 + x * 4)
40 + 5x = (20 + 4x)

Solving
40 + 5x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + 5x + -4x = 20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
40 + 1x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 1x = 20 + 0
40 + 1x = 20

Add '-40' to each side of the equation.
40 + -40 + 1x = 20 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = 20 + -40
1x = 20 + -40

Combine like terms: 20 + -40 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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