3x-4=-x+10

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


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

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

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

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 3x + x = 10 + -1x + x

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

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

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

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

Combine like terms: 10 + 4 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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