6x+3=7-2x

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Solution for 6x+3=7-2x equation:


Simplifying
6x + 3 = 7 + -2x

Reorder the terms:
3 + 6x = 7 + -2x

Solving
3 + 6x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 6x + 2x = 7 + -2x + 2x

Combine like terms: 6x + 2x = 8x
3 + 8x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 8x = 7 + 0
3 + 8x = 7

Add '-3' to each side of the equation.
3 + -3 + 8x = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 7 + -3
8x = 7 + -3

Combine like terms: 7 + -3 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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