10x-11=7x+14

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Solution for 10x-11=7x+14 equation:


Simplifying
10x + -11 = 7x + 14

Reorder the terms:
-11 + 10x = 7x + 14

Reorder the terms:
-11 + 10x = 14 + 7x

Solving
-11 + 10x = 14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + 10x + -7x = 14 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-11 + 3x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + 3x = 14 + 0
-11 + 3x = 14

Add '11' to each side of the equation.
-11 + 11 + 3x = 14 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 14 + 11
3x = 14 + 11

Combine like terms: 14 + 11 = 25
3x = 25

Divide each side by '3'.
x = 8.333333333

Simplifying
x = 8.333333333

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