2x+6(x+1)=4x+30

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Solution for 2x+6(x+1)=4x+30 equation:


Simplifying
2x + 6(x + 1) = 4x + 30

Reorder the terms:
2x + 6(1 + x) = 4x + 30
2x + (1 * 6 + x * 6) = 4x + 30
2x + (6 + 6x) = 4x + 30

Reorder the terms:
6 + 2x + 6x = 4x + 30

Combine like terms: 2x + 6x = 8x
6 + 8x = 4x + 30

Reorder the terms:
6 + 8x = 30 + 4x

Solving
6 + 8x = 30 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 8x + -4x = 30 + 4x + -4x

Combine like terms: 8x + -4x = 4x
6 + 4x = 30 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 4x = 30 + 0
6 + 4x = 30

Add '-6' to each side of the equation.
6 + -6 + 4x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 30 + -6
4x = 30 + -6

Combine like terms: 30 + -6 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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