4x-6+8=2x+10-3

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Solution for 4x-6+8=2x+10-3 equation:


Simplifying
4x + -6 + 8 = 2x + 10 + -3

Reorder the terms:
-6 + 8 + 4x = 2x + 10 + -3

Combine like terms: -6 + 8 = 2
2 + 4x = 2x + 10 + -3

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

Combine like terms: 10 + -3 = 7
2 + 4x = 7 + 2x

Solving
2 + 4x = 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.
2 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
2 + 2x = 7 + 2x + -2x

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

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

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

Combine like terms: 7 + -2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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