0.3(5x-4)=1.2(x+5)

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Solution for 0.3(5x-4)=1.2(x+5) equation:


Simplifying
0.3(5x + -4) = 1.2(x + 5)

Reorder the terms:
0.3(-4 + 5x) = 1.2(x + 5)
(-4 * 0.3 + 5x * 0.3) = 1.2(x + 5)
(-1.2 + 1.5x) = 1.2(x + 5)

Reorder the terms:
-1.2 + 1.5x = 1.2(5 + x)
-1.2 + 1.5x = (5 * 1.2 + x * 1.2)
-1.2 + 1.5x = (6 + 1.2x)

Solving
-1.2 + 1.5x = 6 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
-1.2 + 1.5x + -1.2x = 6 + 1.2x + -1.2x

Combine like terms: 1.5x + -1.2x = 0.3x
-1.2 + 0.3x = 6 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-1.2 + 0.3x = 6 + 0.0
-1.2 + 0.3x = 6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.3x = 6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.3x = 6 + 1.2
0.3x = 6 + 1.2

Combine like terms: 6 + 1.2 = 7.2
0.3x = 7.2

Divide each side by '0.3'.
x = 24

Simplifying
x = 24

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