0.5x+0.4(x+2)=5-1.5(x+1)

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Solution for 0.5x+0.4(x+2)=5-1.5(x+1) equation: 


Simplifying
0.5x + 0.4(x + 2) = 5 + -1.5(x + 1)

Reorder the terms:
0.5x + 0.4(2 + x) = 5 + -1.5(x + 1)
0.5x + (2 * 0.4 + x * 0.4) = 5 + -1.5(x + 1)
0.5x + (0.8 + 0.4x) = 5 + -1.5(x + 1)

Reorder the terms:
0.8 + 0.5x + 0.4x = 5 + -1.5(x + 1)

Combine like terms: 0.5x + 0.4x = 0.9x
0.8 + 0.9x = 5 + -1.5(x + 1)

Reorder the terms:
0.8 + 0.9x = 5 + -1.5(1 + x)
0.8 + 0.9x = 5 + (1 * -1.5 + x * -1.5)
0.8 + 0.9x = 5 + (-1.5 + -1.5x)

Combine like terms: 5 + -1.5 = 3.5
0.8 + 0.9x = 3.5 + -1.5x

Solving
0.8 + 0.9x = 3.5 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
0.8 + 0.9x + 1.5x = 3.5 + -1.5x + 1.5x

Combine like terms: 0.9x + 1.5x = 2.4x
0.8 + 2.4x = 3.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
0.8 + 2.4x = 3.5 + 0.0
0.8 + 2.4x = 3.5

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 2.4x = 3.5 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 2.4x = 3.5 + -0.8
2.4x = 3.5 + -0.8

Combine like terms: 3.5 + -0.8 = 2.7
2.4x = 2.7

Divide each side by '2.4'.
x = 1.125

Simplifying
x = 1.125

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