4x-7+x=10-3x-1

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Solution for 4x-7+x=10-3x-1 equation:


Simplifying
4x + -7 + x = 10 + -3x + -1

Reorder the terms:
-7 + 4x + x = 10 + -3x + -1

Combine like terms: 4x + x = 5x
-7 + 5x = 10 + -3x + -1

Reorder the terms:
-7 + 5x = 10 + -1 + -3x

Combine like terms: 10 + -1 = 9
-7 + 5x = 9 + -3x

Solving
-7 + 5x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 5x + 3x = 9 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-7 + 8x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 8x = 9 + 0
-7 + 8x = 9

Add '7' to each side of the equation.
-7 + 7 + 8x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 9 + 7
8x = 9 + 7

Combine like terms: 9 + 7 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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