7(x-4)+x=8(x-4)+4

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Solution for 7(x-4)+x=8(x-4)+4 equation: 


Simplifying
7(x + -4) + x = 8(x + -4) + 4

Reorder the terms:
7(-4 + x) + x = 8(x + -4) + 4
(-4 * 7 + x * 7) + x = 8(x + -4) + 4
(-28 + 7x) + x = 8(x + -4) + 4

Combine like terms: 7x + x = 8x
-28 + 8x = 8(x + -4) + 4

Reorder the terms:
-28 + 8x = 8(-4 + x) + 4
-28 + 8x = (-4 * 8 + x * 8) + 4
-28 + 8x = (-32 + 8x) + 4

Reorder the terms:
-28 + 8x = -32 + 4 + 8x

Combine like terms: -32 + 4 = -28
-28 + 8x = -28 + 8x

Add '28' to each side of the equation.
-28 + 28 + 8x = -28 + 28 + 8x

Combine like terms: -28 + 28 = 0
0 + 8x = -28 + 28 + 8x
8x = -28 + 28 + 8x

Combine like terms: -28 + 28 = 0
8x = 0 + 8x
8x = 8x

Add '-8x' to each side of the equation.
8x + -8x = 8x + -8x

Combine like terms: 8x + -8x = 0
0 = 8x + -8x

Combine like terms: 8x + -8x = 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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