2(8x+5)=4(3x+1)

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Solution for 2(8x+5)=4(3x+1) equation:


Simplifying
2(8x + 5) = 4(3x + 1)

Reorder the terms:
2(5 + 8x) = 4(3x + 1)
(5 * 2 + 8x * 2) = 4(3x + 1)
(10 + 16x) = 4(3x + 1)

Reorder the terms:
10 + 16x = 4(1 + 3x)
10 + 16x = (1 * 4 + 3x * 4)
10 + 16x = (4 + 12x)

Solving
10 + 16x = 4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 16x + -12x = 4 + 12x + -12x

Combine like terms: 16x + -12x = 4x
10 + 4x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + 4x = 4 + 0
10 + 4x = 4

Add '-10' to each side of the equation.
10 + -10 + 4x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 4 + -10
4x = 4 + -10

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

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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