0.2(2x-3)=0.3x+0.7

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Solution for 0.2(2x-3)=0.3x+0.7 equation: 


Simplifying
0.2(2x + -3) = 0.3x + 0.7

Reorder the terms:
0.2(-3 + 2x) = 0.3x + 0.7
(-3 * 0.2 + 2x * 0.2) = 0.3x + 0.7
(-0.6 + 0.4x) = 0.3x + 0.7

Reorder the terms:
-0.6 + 0.4x = 0.7 + 0.3x

Solving
-0.6 + 0.4x = 0.7 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-0.6 + 0.4x + -0.3x = 0.7 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-0.6 + 0.1x = 0.7 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.6 + 0.1x = 0.7 + 0.0
-0.6 + 0.1x = 0.7

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.1x = 0.7 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.1x = 0.7 + 0.6
0.1x = 0.7 + 0.6

Combine like terms: 0.7 + 0.6 = 1.3
0.1x = 1.3

Divide each side by '0.1'.
x = 13

Simplifying
x = 13

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