0.8x+0.2(5)=0.3(x+5)

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Solution for 0.8x+0.2(5)=0.3(x+5) equation:


Simplifying
0.8x + 0.2(5) = 0.3(x + 5)

Multiply 0.2 * 5
0.8x + 1 = 0.3(x + 5)

Reorder the terms:
1 + 0.8x = 0.3(x + 5)

Reorder the terms:
1 + 0.8x = 0.3(5 + x)
1 + 0.8x = (5 * 0.3 + x * 0.3)
1 + 0.8x = (1.5 + 0.3x)

Solving
1 + 0.8x = 1.5 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
1 + 0.8x + -0.3x = 1.5 + 0.3x + -0.3x

Combine like terms: 0.8x + -0.3x = 0.5x
1 + 0.5x = 1.5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
1 + 0.5x = 1.5 + 0.0
1 + 0.5x = 1.5

Add '-1' to each side of the equation.
1 + -1 + 0.5x = 1.5 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5x = 1.5 + -1
0.5x = 1.5 + -1

Combine like terms: 1.5 + -1 = 0.5
0.5x = 0.5

Divide each side by '0.5'.
x = 1

Simplifying
x = 1

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