6x+2-4x+3=3x-10

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Solution for 6x+2-4x+3=3x-10 equation:


Simplifying
6x + 2 + -4x + 3 = 3x + -10

Reorder the terms:
2 + 3 + 6x + -4x = 3x + -10

Combine like terms: 2 + 3 = 5
5 + 6x + -4x = 3x + -10

Combine like terms: 6x + -4x = 2x
5 + 2x = 3x + -10

Reorder the terms:
5 + 2x = -10 + 3x

Solving
5 + 2x = -10 + 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.
5 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
5 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -1x = -10 + 0
5 + -1x = -10

Add '-5' to each side of the equation.
5 + -5 + -1x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = -10 + -5
-1x = -10 + -5

Combine like terms: -10 + -5 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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