10x-40=7x+11

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Solution for 10x-40=7x+11 equation:


Simplifying
10x + -40 = 7x + 11

Reorder the terms:
-40 + 10x = 7x + 11

Reorder the terms:
-40 + 10x = 11 + 7x

Solving
-40 + 10x = 11 + 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.
-40 + 10x + -7x = 11 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-40 + 3x = 11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-40 + 3x = 11 + 0
-40 + 3x = 11

Add '40' to each side of the equation.
-40 + 40 + 3x = 11 + 40

Combine like terms: -40 + 40 = 0
0 + 3x = 11 + 40
3x = 11 + 40

Combine like terms: 11 + 40 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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