51(x+3)=20(4x+8)

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Solution for 51(x+3)=20(4x+8) equation:


Simplifying
51(x + 3) = 20(4x + 8)

Reorder the terms:
51(3 + x) = 20(4x + 8)
(3 * 51 + x * 51) = 20(4x + 8)
(153 + 51x) = 20(4x + 8)

Reorder the terms:
153 + 51x = 20(8 + 4x)
153 + 51x = (8 * 20 + 4x * 20)
153 + 51x = (160 + 80x)

Solving
153 + 51x = 160 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
153 + 51x + -80x = 160 + 80x + -80x

Combine like terms: 51x + -80x = -29x
153 + -29x = 160 + 80x + -80x

Combine like terms: 80x + -80x = 0
153 + -29x = 160 + 0
153 + -29x = 160

Add '-153' to each side of the equation.
153 + -153 + -29x = 160 + -153

Combine like terms: 153 + -153 = 0
0 + -29x = 160 + -153
-29x = 160 + -153

Combine like terms: 160 + -153 = 7
-29x = 7

Divide each side by '-29'.
x = -0.2413793103

Simplifying
x = -0.2413793103

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