0.5(x+20)=2.4(x+1)

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Solution for 0.5(x+20)=2.4(x+1) equation: 


Simplifying
0.5(x + 20) = 2.4(x + 1)

Reorder the terms:
0.5(20 + x) = 2.4(x + 1)
(20 * 0.5 + x * 0.5) = 2.4(x + 1)
(10 + 0.5x) = 2.4(x + 1)

Reorder the terms:
10 + 0.5x = 2.4(1 + x)
10 + 0.5x = (1 * 2.4 + x * 2.4)
10 + 0.5x = (2.4 + 2.4x)

Solving
10 + 0.5x = 2.4 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
10 + 0.5x + -2.4x = 2.4 + 2.4x + -2.4x

Combine like terms: 0.5x + -2.4x = -1.9x
10 + -1.9x = 2.4 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
10 + -1.9x = 2.4 + 0.0
10 + -1.9x = 2.4

Add '-10' to each side of the equation.
10 + -10 + -1.9x = 2.4 + -10

Combine like terms: 10 + -10 = 0
0 + -1.9x = 2.4 + -10
-1.9x = 2.4 + -10

Combine like terms: 2.4 + -10 = -7.6
-1.9x = -7.6

Divide each side by '-1.9'.
x = 4

Simplifying
x = 4

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