0.3(2x-1)-0.1(x+5)=0.7

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Solution for 0.3(2x-1)-0.1(x+5)=0.7 equation: 


Simplifying
0.3(2x + -1) + -0.1(x + 5) = 0.7

Reorder the terms:
0.3(-1 + 2x) + -0.1(x + 5) = 0.7
(-1 * 0.3 + 2x * 0.3) + -0.1(x + 5) = 0.7
(-0.3 + 0.6x) + -0.1(x + 5) = 0.7

Reorder the terms:
-0.3 + 0.6x + -0.1(5 + x) = 0.7
-0.3 + 0.6x + (5 * -0.1 + x * -0.1) = 0.7
-0.3 + 0.6x + (-0.5 + -0.1x) = 0.7

Reorder the terms:
-0.3 + -0.5 + 0.6x + -0.1x = 0.7

Combine like terms: -0.3 + -0.5 = -0.8
-0.8 + 0.6x + -0.1x = 0.7

Combine like terms: 0.6x + -0.1x = 0.5x
-0.8 + 0.5x = 0.7

Solving
-0.8 + 0.5x = 0.7

Solving for variable 'x'.

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

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.5x = 0.7 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.5x = 0.7 + 0.8
0.5x = 0.7 + 0.8

Combine like terms: 0.7 + 0.8 = 1.5
0.5x = 1.5

Divide each side by '0.5'.
x = 3

Simplifying
x = 3

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