0.3(4x-7)=3(0.3x+2)

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Solution for 0.3(4x-7)=3(0.3x+2) equation: 


Simplifying
0.3(4x + -7) = 3(0.3x + 2)

Reorder the terms:
0.3(-7 + 4x) = 3(0.3x + 2)
(-7 * 0.3 + 4x * 0.3) = 3(0.3x + 2)
(-2.1 + 1.2x) = 3(0.3x + 2)

Reorder the terms:
-2.1 + 1.2x = 3(2 + 0.3x)
-2.1 + 1.2x = (2 * 3 + 0.3x * 3)
-2.1 + 1.2x = (6 + 0.9x)

Solving
-2.1 + 1.2x = 6 + 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.
-2.1 + 1.2x + -0.9x = 6 + 0.9x + -0.9x

Combine like terms: 1.2x + -0.9x = 0.3x
-2.1 + 0.3x = 6 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
-2.1 + 0.3x = 6 + 0.0
-2.1 + 0.3x = 6

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.3x = 6 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.3x = 6 + 2.1
0.3x = 6 + 2.1

Combine like terms: 6 + 2.1 = 8.1
0.3x = 8.1

Divide each side by '0.3'.
x = 27

Simplifying
x = 27

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