4(x+5)=2(8x-3)-2

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Solution for 4(x+5)=2(8x-3)-2 equation:


Simplifying
4(x + 5) = 2(8x + -3) + -2

Reorder the terms:
4(5 + x) = 2(8x + -3) + -2
(5 * 4 + x * 4) = 2(8x + -3) + -2
(20 + 4x) = 2(8x + -3) + -2

Reorder the terms:
20 + 4x = 2(-3 + 8x) + -2
20 + 4x = (-3 * 2 + 8x * 2) + -2
20 + 4x = (-6 + 16x) + -2

Reorder the terms:
20 + 4x = -6 + -2 + 16x

Combine like terms: -6 + -2 = -8
20 + 4x = -8 + 16x

Solving
20 + 4x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
20 + 4x + -16x = -8 + 16x + -16x

Combine like terms: 4x + -16x = -12x
20 + -12x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
20 + -12x = -8 + 0
20 + -12x = -8

Add '-20' to each side of the equation.
20 + -20 + -12x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = -8 + -20
-12x = -8 + -20

Combine like terms: -8 + -20 = -28
-12x = -28

Divide each side by '-12'.
x = 2.333333333

Simplifying
x = 2.333333333

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