0.06(2x-1)-0.01(9x+6)=0.1

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Solution for 0.06(2x-1)-0.01(9x+6)=0.1 equation:


Simplifying
0.06(2x + -1) + -0.01(9x + 6) = 0.1

Reorder the terms:
0.06(-1 + 2x) + -0.01(9x + 6) = 0.1
(-1 * 0.06 + 2x * 0.06) + -0.01(9x + 6) = 0.1
(-0.06 + 0.12x) + -0.01(9x + 6) = 0.1

Reorder the terms:
-0.06 + 0.12x + -0.01(6 + 9x) = 0.1
-0.06 + 0.12x + (6 * -0.01 + 9x * -0.01) = 0.1
-0.06 + 0.12x + (-0.06 + -0.09x) = 0.1

Reorder the terms:
-0.06 + -0.06 + 0.12x + -0.09x = 0.1

Combine like terms: -0.06 + -0.06 = -0.12
-0.12 + 0.12x + -0.09x = 0.1

Combine like terms: 0.12x + -0.09x = 0.03x
-0.12 + 0.03x = 0.1

Solving
-0.12 + 0.03x = 0.1

Solving for variable 'x'.

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

Add '0.12' to each side of the equation.
-0.12 + 0.12 + 0.03x = 0.1 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 0.03x = 0.1 + 0.12
0.03x = 0.1 + 0.12

Combine like terms: 0.1 + 0.12 = 0.22
0.03x = 0.22

Divide each side by '0.03'.
x = 7.333333333

Simplifying
x = 7.333333333

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