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

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


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

Reorder the terms:
-2(-5 + 4x) + 6(2x + 5) = 6
(-5 * -2 + 4x * -2) + 6(2x + 5) = 6
(10 + -8x) + 6(2x + 5) = 6

Reorder the terms:
10 + -8x + 6(5 + 2x) = 6
10 + -8x + (5 * 6 + 2x * 6) = 6
10 + -8x + (30 + 12x) = 6

Reorder the terms:
10 + 30 + -8x + 12x = 6

Combine like terms: 10 + 30 = 40
40 + -8x + 12x = 6

Combine like terms: -8x + 12x = 4x
40 + 4x = 6

Solving
40 + 4x = 6

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 4x = 6 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = 6 + -40
4x = 6 + -40

Combine like terms: 6 + -40 = -34
4x = -34

Divide each side by '4'.
x = -8.5

Simplifying
x = -8.5

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