2(3x-1)-4(x+2)=84

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Solution for 2(3x-1)-4(x+2)=84 equation:


Simplifying
2(3x + -1) + -4(x + 2) = 84

Reorder the terms:
2(-1 + 3x) + -4(x + 2) = 84
(-1 * 2 + 3x * 2) + -4(x + 2) = 84
(-2 + 6x) + -4(x + 2) = 84

Reorder the terms:
-2 + 6x + -4(2 + x) = 84
-2 + 6x + (2 * -4 + x * -4) = 84
-2 + 6x + (-8 + -4x) = 84

Reorder the terms:
-2 + -8 + 6x + -4x = 84

Combine like terms: -2 + -8 = -10
-10 + 6x + -4x = 84

Combine like terms: 6x + -4x = 2x
-10 + 2x = 84

Solving
-10 + 2x = 84

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 84 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 84 + 10
2x = 84 + 10

Combine like terms: 84 + 10 = 94
2x = 94

Divide each side by '2'.
x = 47

Simplifying
x = 47

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