-2(4x-5)+6(2x+1)=6

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Solution for -2(4x-5)+6(2x+1)=6 equation:


Simplifying
-2(4x + -5) + 6(2x + 1) = 6

Reorder the terms:
-2(-5 + 4x) + 6(2x + 1) = 6
(-5 * -2 + 4x * -2) + 6(2x + 1) = 6
(10 + -8x) + 6(2x + 1) = 6

Reorder the terms:
10 + -8x + 6(1 + 2x) = 6
10 + -8x + (1 * 6 + 2x * 6) = 6
10 + -8x + (6 + 12x) = 6

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

Combine like terms: 10 + 6 = 16
16 + -8x + 12x = 6

Combine like terms: -8x + 12x = 4x
16 + 4x = 6

Solving
16 + 4x = 6

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 4x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 6 + -16
4x = 6 + -16

Combine like terms: 6 + -16 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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