6x+3(4-x)=(5.00)(4)

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Solution for 6x+3(4-x)=(5.00)(4) equation:


Simplifying
6x + 3(4 + -1x) = (5.00)(4)
6x + (4 * 3 + -1x * 3) = (5.00)(4)
6x + (12 + -3x) = (5.00)(4)

Reorder the terms:
12 + 6x + -3x = (5.00)(4)

Combine like terms: 6x + -3x = 3x
12 + 3x = (5.00)(4)

Multiply 5.00 * 4
12 + 3x = 20

Solving
12 + 3x = 20

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 20 + -12
3x = 20 + -12

Combine like terms: 20 + -12 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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