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

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


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

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

Reorder the terms:
8 + 6x = 10 + 8x + -6x

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

Solving
8 + 6x = 10 + 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.
8 + 6x + -2x = 10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 4x = 10 + 0
8 + 4x = 10

Add '-8' to each side of the equation.
8 + -8 + 4x = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 10 + -8
4x = 10 + -8

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

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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