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

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


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

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

Combine like terms: 0.5x + 0.4x = 0.9x
2 + 0.9x = 5 + -1.5(x + 1)

Reorder the terms:
2 + 0.9x = 5 + -1.5(1 + x)
2 + 0.9x = 5 + (1 * -1.5 + x * -1.5)
2 + 0.9x = 5 + (-1.5 + -1.5x)

Combine like terms: 5 + -1.5 = 3.5
2 + 0.9x = 3.5 + -1.5x

Solving
2 + 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.
2 + 0.9x + 1.5x = 3.5 + -1.5x + 1.5x

Combine like terms: 0.9x + 1.5x = 2.4x
2 + 2.4x = 3.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
2 + 2.4x = 3.5 + 0.0
2 + 2.4x = 3.5

Add '-2' to each side of the equation.
2 + -2 + 2.4x = 3.5 + -2

Combine like terms: 2 + -2 = 0
0 + 2.4x = 3.5 + -2
2.4x = 3.5 + -2

Combine like terms: 3.5 + -2 = 1.5
2.4x = 1.5

Divide each side by '2.4'.
x = 0.625

Simplifying
x = 0.625

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