6x+x-10=4x-x+3

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Solution for 6x+x-10=4x-x+3 equation:


Simplifying
6x + x + -10 = 4x + -1x + 3

Reorder the terms:
-10 + 6x + x = 4x + -1x + 3

Combine like terms: 6x + x = 7x
-10 + 7x = 4x + -1x + 3

Reorder the terms:
-10 + 7x = 3 + 4x + -1x

Combine like terms: 4x + -1x = 3x
-10 + 7x = 3 + 3x

Solving
-10 + 7x = 3 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-10 + 4x = 3 + 0
-10 + 4x = 3

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

Combine like terms: -10 + 10 = 0
0 + 4x = 3 + 10
4x = 3 + 10

Combine like terms: 3 + 10 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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