16(3x+5)=40+10(4x+8)

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Solution for 16(3x+5)=40+10(4x+8) equation:


Simplifying
16(3x + 5) = 40 + 10(4x + 8)

Reorder the terms:
16(5 + 3x) = 40 + 10(4x + 8)
(5 * 16 + 3x * 16) = 40 + 10(4x + 8)
(80 + 48x) = 40 + 10(4x + 8)

Reorder the terms:
80 + 48x = 40 + 10(8 + 4x)
80 + 48x = 40 + (8 * 10 + 4x * 10)
80 + 48x = 40 + (80 + 40x)

Combine like terms: 40 + 80 = 120
80 + 48x = 120 + 40x

Solving
80 + 48x = 120 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
80 + 48x + -40x = 120 + 40x + -40x

Combine like terms: 48x + -40x = 8x
80 + 8x = 120 + 40x + -40x

Combine like terms: 40x + -40x = 0
80 + 8x = 120 + 0
80 + 8x = 120

Add '-80' to each side of the equation.
80 + -80 + 8x = 120 + -80

Combine like terms: 80 + -80 = 0
0 + 8x = 120 + -80
8x = 120 + -80

Combine like terms: 120 + -80 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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