0.5(0.3x+4)=0.4(2x-5)+2

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Solution for 0.5(0.3x+4)=0.4(2x-5)+2 equation:


Simplifying
0.5(0.3x + 4) = 0.4(2x + -5) + 2

Reorder the terms:
0.5(4 + 0.3x) = 0.4(2x + -5) + 2
(4 * 0.5 + 0.3x * 0.5) = 0.4(2x + -5) + 2
(2 + 0.15x) = 0.4(2x + -5) + 2

Reorder the terms:
2 + 0.15x = 0.4(-5 + 2x) + 2
2 + 0.15x = (-5 * 0.4 + 2x * 0.4) + 2
2 + 0.15x = (-2 + 0.8x) + 2

Reorder the terms:
2 + 0.15x = -2 + 2 + 0.8x

Combine like terms: -2 + 2 = 0
2 + 0.15x = 0 + 0.8x
2 + 0.15x = 0.8x

Solving
2 + 0.15x = 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
2 + 0.15x + -0.8x = 0.8x + -0.8x

Combine like terms: 0.15x + -0.8x = -0.65x
2 + -0.65x = 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
2 + -0.65x = 0.0

Add '-2' to each side of the equation.
2 + -2 + -0.65x = 0.0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.65x = 0.0 + -2
-0.65x = 0.0 + -2

Combine like terms: 0.0 + -2 = -2
-0.65x = -2

Divide each side by '-0.65'.
x = 3.076923077

Simplifying
x = 3.076923077

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