5(1-2x)+2(3x+4)=16

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Solution for 5(1-2x)+2(3x+4)=16 equation:


Simplifying
5(1 + -2x) + 2(3x + 4) = 16
(1 * 5 + -2x * 5) + 2(3x + 4) = 16
(5 + -10x) + 2(3x + 4) = 16

Reorder the terms:
5 + -10x + 2(4 + 3x) = 16
5 + -10x + (4 * 2 + 3x * 2) = 16
5 + -10x + (8 + 6x) = 16

Reorder the terms:
5 + 8 + -10x + 6x = 16

Combine like terms: 5 + 8 = 13
13 + -10x + 6x = 16

Combine like terms: -10x + 6x = -4x
13 + -4x = 16

Solving
13 + -4x = 16

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 16 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 16 + -13
-4x = 16 + -13

Combine like terms: 16 + -13 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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