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

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


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

Reorder the terms:
5(10 + x) + x = 4(x + 2) + 2
(10 * 5 + x * 5) + x = 4(x + 2) + 2
(50 + 5x) + x = 4(x + 2) + 2

Combine like terms: 5x + x = 6x
50 + 6x = 4(x + 2) + 2

Reorder the terms:
50 + 6x = 4(2 + x) + 2
50 + 6x = (2 * 4 + x * 4) + 2
50 + 6x = (8 + 4x) + 2

Reorder the terms:
50 + 6x = 8 + 2 + 4x

Combine like terms: 8 + 2 = 10
50 + 6x = 10 + 4x

Solving
50 + 6x = 10 + 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.
50 + 6x + -4x = 10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
50 + 2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
50 + 2x = 10 + 0
50 + 2x = 10

Add '-50' to each side of the equation.
50 + -50 + 2x = 10 + -50

Combine like terms: 50 + -50 = 0
0 + 2x = 10 + -50
2x = 10 + -50

Combine like terms: 10 + -50 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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