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

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


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

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

Reorder the terms:
2 + 4x = 3(6 + x) + 8
2 + 4x = (6 * 3 + x * 3) + 8
2 + 4x = (18 + 3x) + 8

Reorder the terms:
2 + 4x = 18 + 8 + 3x

Combine like terms: 18 + 8 = 26
2 + 4x = 26 + 3x

Solving
2 + 4x = 26 + 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.
2 + 4x + -3x = 26 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = 26 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = 26 + 0
2 + 1x = 26

Add '-2' to each side of the equation.
2 + -2 + 1x = 26 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 26 + -2
1x = 26 + -2

Combine like terms: 26 + -2 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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