0.7(x-3)=0.2x+3

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Solution for 0.7(x-3)=0.2x+3 equation: 


Simplifying
0.7(x + -3) = 0.2x + 3

Reorder the terms:
0.7(-3 + x) = 0.2x + 3
(-3 * 0.7 + x * 0.7) = 0.2x + 3
(-2.1 + 0.7x) = 0.2x + 3

Reorder the terms:
-2.1 + 0.7x = 3 + 0.2x

Solving
-2.1 + 0.7x = 3 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-2.1 + 0.7x + -0.2x = 3 + 0.2x + -0.2x

Combine like terms: 0.7x + -0.2x = 0.5x
-2.1 + 0.5x = 3 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-2.1 + 0.5x = 3 + 0.0
-2.1 + 0.5x = 3

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.5x = 3 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.5x = 3 + 2.1
0.5x = 3 + 2.1

Combine like terms: 3 + 2.1 = 5.1
0.5x = 5.1

Divide each side by '0.5'.
x = 10.2

Simplifying
x = 10.2

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