6(3x)+6(7)=5(4x)

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Solution for 6(3x)+6(7)=5(4x) equation:


Simplifying
6(3x) + 6(7) = 5(4x)

Remove parenthesis around (3x)
6 * 3x + 6(7) = 5(4x)

Multiply 6 * 3
18x + 6(7) = 5(4x)

Multiply 6 * 7
18x + 42 = 5(4x)

Reorder the terms:
42 + 18x = 5(4x)

Remove parenthesis around (4x)
42 + 18x = 5 * 4x

Multiply 5 * 4
42 + 18x = 20x

Solving
42 + 18x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
42 + 18x + -20x = 20x + -20x

Combine like terms: 18x + -20x = -2x
42 + -2x = 20x + -20x

Combine like terms: 20x + -20x = 0
42 + -2x = 0

Add '-42' to each side of the equation.
42 + -42 + -2x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -2x = 0 + -42
-2x = 0 + -42

Combine like terms: 0 + -42 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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