5(x+1)-4(3-x)=2x-7(1-x)

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Solution for 5(x+1)-4(3-x)=2x-7(1-x) equation:


Simplifying
5(x + 1) + -4(3 + -1x) = 2x + -7(1 + -1x)

Reorder the terms:
5(1 + x) + -4(3 + -1x) = 2x + -7(1 + -1x)
(1 * 5 + x * 5) + -4(3 + -1x) = 2x + -7(1 + -1x)
(5 + 5x) + -4(3 + -1x) = 2x + -7(1 + -1x)
5 + 5x + (3 * -4 + -1x * -4) = 2x + -7(1 + -1x)
5 + 5x + (-12 + 4x) = 2x + -7(1 + -1x)

Reorder the terms:
5 + -12 + 5x + 4x = 2x + -7(1 + -1x)

Combine like terms: 5 + -12 = -7
-7 + 5x + 4x = 2x + -7(1 + -1x)

Combine like terms: 5x + 4x = 9x
-7 + 9x = 2x + -7(1 + -1x)
-7 + 9x = 2x + (1 * -7 + -1x * -7)
-7 + 9x = 2x + (-7 + 7x)

Reorder the terms:
-7 + 9x = -7 + 2x + 7x

Combine like terms: 2x + 7x = 9x
-7 + 9x = -7 + 9x

Add '7' to each side of the equation.
-7 + 7 + 9x = -7 + 7 + 9x

Combine like terms: -7 + 7 = 0
0 + 9x = -7 + 7 + 9x
9x = -7 + 7 + 9x

Combine like terms: -7 + 7 = 0
9x = 0 + 9x
9x = 9x

Add '-9x' to each side of the equation.
9x + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
0 = 9x + -9x

Combine like terms: 9x + -9x = 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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