(4x+6)=3(x+10)

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


Simplifying
(4x + 6) = 3(x + 10)

Reorder the terms:
(6 + 4x) = 3(x + 10)

Remove parenthesis around (6 + 4x)
6 + 4x = 3(x + 10)

Reorder the terms:
6 + 4x = 3(10 + x)
6 + 4x = (10 * 3 + x * 3)
6 + 4x = (30 + 3x)

Solving
6 + 4x = 30 + 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.
6 + 4x + -3x = 30 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = 30 + 0
6 + 1x = 30

Add '-6' to each side of the equation.
6 + -6 + 1x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 30 + -6
1x = 30 + -6

Combine like terms: 30 + -6 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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