5[1x+10]+1x=2[1x+3]+4

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Solution for 5[1x+10]+1x=2[1x+3]+4 equation: 


Simplifying
5[1x + 10] + 1x = 2[1x + 3] + 4

Reorder the terms:
5[10 + 1x] + 1x = 2[1x + 3] + 4
[10 * 5 + 1x * 5] + 1x = 2[1x + 3] + 4
[50 + 5x] + 1x = 2[1x + 3] + 4

Combine like terms: 5x + 1x = 6x
50 + 6x = 2[1x + 3] + 4

Reorder the terms:
50 + 6x = 2[3 + 1x] + 4
50 + 6x = [3 * 2 + 1x * 2] + 4
50 + 6x = [6 + 2x] + 4

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

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

Solving
50 + 6x = 10 + 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.
50 + 6x + -2x = 10 + 2x + -2x

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

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

Add '-50' to each side of the equation.
50 + -50 + 4x = 10 + -50

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

Combine like terms: 10 + -50 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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