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

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


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

Reorder the terms:
0.7x + -2(-3 + x) = 0.2x + 3
0.7x + (-3 * -2 + x * -2) = 0.2x + 3
0.7x + (6 + -2x) = 0.2x + 3

Reorder the terms:
6 + 0.7x + -2x = 0.2x + 3

Combine like terms: 0.7x + -2x = -1.3x
6 + -1.3x = 0.2x + 3

Reorder the terms:
6 + -1.3x = 3 + 0.2x

Solving
6 + -1.3x = 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.
6 + -1.3x + -0.2x = 3 + 0.2x + -0.2x

Combine like terms: -1.3x + -0.2x = -1.5x
6 + -1.5x = 3 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
6 + -1.5x = 3 + 0.0
6 + -1.5x = 3

Add '-6' to each side of the equation.
6 + -6 + -1.5x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5x = 3 + -6
-1.5x = 3 + -6

Combine like terms: 3 + -6 = -3
-1.5x = -3

Divide each side by '-1.5'.
x = 2

Simplifying
x = 2

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