10x+2=2(4x+1)-x+5

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Solution for 10x+2=2(4x+1)-x+5 equation: 


Simplifying
10x + 2 = 2(4x + 1) + -1x + 5

Reorder the terms:
2 + 10x = 2(4x + 1) + -1x + 5

Reorder the terms:
2 + 10x = 2(1 + 4x) + -1x + 5
2 + 10x = (1 * 2 + 4x * 2) + -1x + 5
2 + 10x = (2 + 8x) + -1x + 5

Reorder the terms:
2 + 10x = 2 + 5 + 8x + -1x

Combine like terms: 2 + 5 = 7
2 + 10x = 7 + 8x + -1x

Combine like terms: 8x + -1x = 7x
2 + 10x = 7 + 7x

Solving
2 + 10x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 10x + -7x = 7 + 7x + -7x

Combine like terms: 10x + -7x = 3x
2 + 3x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 3x = 7 + 0
2 + 3x = 7

Add '-2' to each side of the equation.
2 + -2 + 3x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 7 + -2
3x = 7 + -2

Combine like terms: 7 + -2 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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