0.5(x+1)+0.3(x+2)=0.25(x+3)+0.2(x+4)

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Solution for 0.5(x+1)+0.3(x+2)=0.25(x+3)+0.2(x+4) equation: 


Simplifying
0.5(x + 1) + 0.3(x + 2) = 0.25(x + 3) + 0.2(x + 4)

Reorder the terms:
0.5(1 + x) + 0.3(x + 2) = 0.25(x + 3) + 0.2(x + 4)
(1 * 0.5 + x * 0.5) + 0.3(x + 2) = 0.25(x + 3) + 0.2(x + 4)
(0.5 + 0.5x) + 0.3(x + 2) = 0.25(x + 3) + 0.2(x + 4)

Reorder the terms:
0.5 + 0.5x + 0.3(2 + x) = 0.25(x + 3) + 0.2(x + 4)
0.5 + 0.5x + (2 * 0.3 + x * 0.3) = 0.25(x + 3) + 0.2(x + 4)
0.5 + 0.5x + (0.6 + 0.3x) = 0.25(x + 3) + 0.2(x + 4)

Reorder the terms:
0.5 + 0.6 + 0.5x + 0.3x = 0.25(x + 3) + 0.2(x + 4)

Combine like terms: 0.5 + 0.6 = 1.1
1.1 + 0.5x + 0.3x = 0.25(x + 3) + 0.2(x + 4)

Combine like terms: 0.5x + 0.3x = 0.8x
1.1 + 0.8x = 0.25(x + 3) + 0.2(x + 4)

Reorder the terms:
1.1 + 0.8x = 0.25(3 + x) + 0.2(x + 4)
1.1 + 0.8x = (3 * 0.25 + x * 0.25) + 0.2(x + 4)
1.1 + 0.8x = (0.75 + 0.25x) + 0.2(x + 4)

Reorder the terms:
1.1 + 0.8x = 0.75 + 0.25x + 0.2(4 + x)
1.1 + 0.8x = 0.75 + 0.25x + (4 * 0.2 + x * 0.2)
1.1 + 0.8x = 0.75 + 0.25x + (0.8 + 0.2x)

Reorder the terms:
1.1 + 0.8x = 0.75 + 0.8 + 0.25x + 0.2x

Combine like terms: 0.75 + 0.8 = 1.55
1.1 + 0.8x = 1.55 + 0.25x + 0.2x

Combine like terms: 0.25x + 0.2x = 0.45x
1.1 + 0.8x = 1.55 + 0.45x

Solving
1.1 + 0.8x = 1.55 + 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
1.1 + 0.8x + -0.45x = 1.55 + 0.45x + -0.45x

Combine like terms: 0.8x + -0.45x = 0.35x
1.1 + 0.35x = 1.55 + 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
1.1 + 0.35x = 1.55 + 0.00
1.1 + 0.35x = 1.55

Add '-1.1' to each side of the equation.
1.1 + -1.1 + 0.35x = 1.55 + -1.1

Combine like terms: 1.1 + -1.1 = 0.0
0.0 + 0.35x = 1.55 + -1.1
0.35x = 1.55 + -1.1

Combine like terms: 1.55 + -1.1 = 0.45
0.35x = 0.45

Divide each side by '0.35'.
x = 1.285714286

Simplifying
x = 1.285714286

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