(3)(4)(6x)-2(3x-500)=800

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Solution for (3)(4)(6x)-2(3x-500)=800 equation:


Simplifying
(3)(4)(6x) + -2(3x + -500) = 800

Remove parenthesis around (6x)
3 * 4 * 6x + -2(3x + -500) = 800

Multiply 3 * 4
12 * 6x + -2(3x + -500) = 800

Multiply 12 * 6
72x + -2(3x + -500) = 800

Reorder the terms:
72x + -2(-500 + 3x) = 800
72x + (-500 * -2 + 3x * -2) = 800
72x + (1000 + -6x) = 800

Reorder the terms:
1000 + 72x + -6x = 800

Combine like terms: 72x + -6x = 66x
1000 + 66x = 800

Solving
1000 + 66x = 800

Solving for variable 'x'.

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

Add '-1000' to each side of the equation.
1000 + -1000 + 66x = 800 + -1000

Combine like terms: 1000 + -1000 = 0
0 + 66x = 800 + -1000
66x = 800 + -1000

Combine like terms: 800 + -1000 = -200
66x = -200

Divide each side by '66'.
x = -3.03030303

Simplifying
x = -3.03030303

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