3x+11=10x-7

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Solution for 3x+11=10x-7 equation:


Simplifying
3x + 11 = 10x + -7

Reorder the terms:
11 + 3x = 10x + -7

Reorder the terms:
11 + 3x = -7 + 10x

Solving
11 + 3x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + 3x + -10x = -7 + 10x + -10x

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

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

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

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

Combine like terms: -7 + -11 = -18
-7x = -18

Divide each side by '-7'.
x = 2.571428571

Simplifying
x = 2.571428571

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