2x+8(2x-5)=6x-30

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Solution for 2x+8(2x-5)=6x-30 equation:


Simplifying
2x + 8(2x + -5) = 6x + -30

Reorder the terms:
2x + 8(-5 + 2x) = 6x + -30
2x + (-5 * 8 + 2x * 8) = 6x + -30
2x + (-40 + 16x) = 6x + -30

Reorder the terms:
-40 + 2x + 16x = 6x + -30

Combine like terms: 2x + 16x = 18x
-40 + 18x = 6x + -30

Reorder the terms:
-40 + 18x = -30 + 6x

Solving
-40 + 18x = -30 + 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.
-40 + 18x + -6x = -30 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-40 + 12x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + 12x = -30 + 0
-40 + 12x = -30

Add '40' to each side of the equation.
-40 + 40 + 12x = -30 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = -30 + 40
12x = -30 + 40

Combine like terms: -30 + 40 = 10
12x = 10

Divide each side by '12'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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