2x+10-x=7+4x-6

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Solution for 2x+10-x=7+4x-6 equation:


Simplifying
2x + 10 + -1x = 7 + 4x + -6

Reorder the terms:
10 + 2x + -1x = 7 + 4x + -6

Combine like terms: 2x + -1x = 1x
10 + 1x = 7 + 4x + -6

Reorder the terms:
10 + 1x = 7 + -6 + 4x

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

Solving
10 + 1x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 1x + -4x = 1 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
10 + -3x = 1 + 0
10 + -3x = 1

Add '-10' to each side of the equation.
10 + -10 + -3x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 1 + -10
-3x = 1 + -10

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

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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