10(x+2)+7(1-x)=3(x+9)

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Solution for 10(x+2)+7(1-x)=3(x+9) equation: 


Simplifying
10(x + 2) + 7(1 + -1x) = 3(x + 9)

Reorder the terms:
10(2 + x) + 7(1 + -1x) = 3(x + 9)
(2 * 10 + x * 10) + 7(1 + -1x) = 3(x + 9)
(20 + 10x) + 7(1 + -1x) = 3(x + 9)
20 + 10x + (1 * 7 + -1x * 7) = 3(x + 9)
20 + 10x + (7 + -7x) = 3(x + 9)

Reorder the terms:
20 + 7 + 10x + -7x = 3(x + 9)

Combine like terms: 20 + 7 = 27
27 + 10x + -7x = 3(x + 9)

Combine like terms: 10x + -7x = 3x
27 + 3x = 3(x + 9)

Reorder the terms:
27 + 3x = 3(9 + x)
27 + 3x = (9 * 3 + x * 3)
27 + 3x = (27 + 3x)

Add '-27' to each side of the equation.
27 + -27 + 3x = 27 + -27 + 3x

Combine like terms: 27 + -27 = 0
0 + 3x = 27 + -27 + 3x
3x = 27 + -27 + 3x

Combine like terms: 27 + -27 = 0
3x = 0 + 3x
3x = 3x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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