0.3(4x-2)=0.9(x+2)

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Solution for 0.3(4x-2)=0.9(x+2) equation:


Simplifying
0.3(4x + -2) = 0.9(x + 2)

Reorder the terms:
0.3(-2 + 4x) = 0.9(x + 2)
(-2 * 0.3 + 4x * 0.3) = 0.9(x + 2)
(-0.6 + 1.2x) = 0.9(x + 2)

Reorder the terms:
-0.6 + 1.2x = 0.9(2 + x)
-0.6 + 1.2x = (2 * 0.9 + x * 0.9)
-0.6 + 1.2x = (1.8 + 0.9x)

Solving
-0.6 + 1.2x = 1.8 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
-0.6 + 1.2x + -0.9x = 1.8 + 0.9x + -0.9x

Combine like terms: 1.2x + -0.9x = 0.3x
-0.6 + 0.3x = 1.8 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-0.6 + 0.3x = 1.8 + 0.0
-0.6 + 0.3x = 1.8

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.3x = 1.8 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.3x = 1.8 + 0.6
0.3x = 1.8 + 0.6

Combine like terms: 1.8 + 0.6 = 2.4
0.3x = 2.4

Divide each side by '0.3'.
x = 8

Simplifying
x = 8

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