21-9+4x-5x=8x-7x+4+6

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Solution for 21-9+4x-5x=8x-7x+4+6 equation:


Simplifying
21 + -9 + 4x + -5x = 8x + -7x + 4 + 6

Combine like terms: 21 + -9 = 12
12 + 4x + -5x = 8x + -7x + 4 + 6

Combine like terms: 4x + -5x = -1x
12 + -1x = 8x + -7x + 4 + 6

Reorder the terms:
12 + -1x = 4 + 6 + 8x + -7x

Combine like terms: 4 + 6 = 10
12 + -1x = 10 + 8x + -7x

Combine like terms: 8x + -7x = 1x
12 + -1x = 10 + 1x

Solving
12 + -1x = 10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -1x + -1x = 10 + 1x + -1x

Combine like terms: -1x + -1x = -2x
12 + -2x = 10 + 1x + -1x

Combine like terms: 1x + -1x = 0
12 + -2x = 10 + 0
12 + -2x = 10

Add '-12' to each side of the equation.
12 + -12 + -2x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 10 + -12
-2x = 10 + -12

Combine like terms: 10 + -12 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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