2x+4(3x-5)-2=98-6x

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Solution for 2x+4(3x-5)-2=98-6x equation:


Simplifying
2x + 4(3x + -5) + -2 = 98 + -6x

Reorder the terms:
2x + 4(-5 + 3x) + -2 = 98 + -6x
2x + (-5 * 4 + 3x * 4) + -2 = 98 + -6x
2x + (-20 + 12x) + -2 = 98 + -6x

Reorder the terms:
-20 + -2 + 2x + 12x = 98 + -6x

Combine like terms: -20 + -2 = -22
-22 + 2x + 12x = 98 + -6x

Combine like terms: 2x + 12x = 14x
-22 + 14x = 98 + -6x

Solving
-22 + 14x = 98 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-22 + 14x + 6x = 98 + -6x + 6x

Combine like terms: 14x + 6x = 20x
-22 + 20x = 98 + -6x + 6x

Combine like terms: -6x + 6x = 0
-22 + 20x = 98 + 0
-22 + 20x = 98

Add '22' to each side of the equation.
-22 + 22 + 20x = 98 + 22

Combine like terms: -22 + 22 = 0
0 + 20x = 98 + 22
20x = 98 + 22

Combine like terms: 98 + 22 = 120
20x = 120

Divide each side by '20'.
x = 6

Simplifying
x = 6

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