-0.14x-0.04(3-6x)=0.05(x-6)-0.22

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Solution for -0.14x-0.04(3-6x)=0.05(x-6)-0.22 equation:


Simplifying
-0.14x + -0.04(3 + -6x) = 0.05(x + -6) + -0.22
-0.14x + (3 * -0.04 + -6x * -0.04) = 0.05(x + -6) + -0.22
-0.14x + (-0.12 + 0.24x) = 0.05(x + -6) + -0.22

Reorder the terms:
-0.12 + -0.14x + 0.24x = 0.05(x + -6) + -0.22

Combine like terms: -0.14x + 0.24x = 0.1x
-0.12 + 0.1x = 0.05(x + -6) + -0.22

Reorder the terms:
-0.12 + 0.1x = 0.05(-6 + x) + -0.22
-0.12 + 0.1x = (-6 * 0.05 + x * 0.05) + -0.22
-0.12 + 0.1x = (-0.3 + 0.05x) + -0.22

Reorder the terms:
-0.12 + 0.1x = -0.3 + -0.22 + 0.05x

Combine like terms: -0.3 + -0.22 = -0.52
-0.12 + 0.1x = -0.52 + 0.05x

Solving
-0.12 + 0.1x = -0.52 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-0.12 + 0.1x + -0.05x = -0.52 + 0.05x + -0.05x

Combine like terms: 0.1x + -0.05x = 0.05x
-0.12 + 0.05x = -0.52 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.12 + 0.05x = -0.52 + 0.00
-0.12 + 0.05x = -0.52

Add '0.12' to each side of the equation.
-0.12 + 0.12 + 0.05x = -0.52 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 0.05x = -0.52 + 0.12
0.05x = -0.52 + 0.12

Combine like terms: -0.52 + 0.12 = -0.4
0.05x = -0.4

Divide each side by '0.05'.
x = -8

Simplifying
x = -8

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