3x-11=-4x+10

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Solution for 3x-11=-4x+10 equation:


Simplifying
3x + -11 = -4x + 10

Reorder the terms:
-11 + 3x = -4x + 10

Reorder the terms:
-11 + 3x = 10 + -4x

Solving
-11 + 3x = 10 + -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.
-11 + 3x + 4x = 10 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-11 + 7x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-11 + 7x = 10 + 0
-11 + 7x = 10

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

Combine like terms: -11 + 11 = 0
0 + 7x = 10 + 11
7x = 10 + 11

Combine like terms: 10 + 11 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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