0.3(x+5)=2x-5

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


Simplifying
0.3(x + 5) = 2x + -5

Reorder the terms:
0.3(5 + x) = 2x + -5
(5 * 0.3 + x * 0.3) = 2x + -5
(1.5 + 0.3x) = 2x + -5

Reorder the terms:
1.5 + 0.3x = -5 + 2x

Solving
1.5 + 0.3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.5 + 0.3x + -2x = -5 + 2x + -2x

Combine like terms: 0.3x + -2x = -1.7x
1.5 + -1.7x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + -1.7x = -5 + 0
1.5 + -1.7x = -5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1.7x = -5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.7x = -5 + -1.5
-1.7x = -5 + -1.5

Combine like terms: -5 + -1.5 = -6.5
-1.7x = -6.5

Divide each side by '-1.7'.
x = 3.823529412

Simplifying
x = 3.823529412

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