.06(2x-1)-.01(9x+5)=0.1

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Solution for .06(2x-1)-.01(9x+5)=0.1 equation: 


Simplifying
0.06(2x + -1) + -0.01(9x + 5) = 0.1

Reorder the terms:
0.06(-1 + 2x) + -0.01(9x + 5) = 0.1
(-1 * 0.06 + 2x * 0.06) + -0.01(9x + 5) = 0.1
(-0.06 + 0.12x) + -0.01(9x + 5) = 0.1

Reorder the terms:
-0.06 + 0.12x + -0.01(5 + 9x) = 0.1
-0.06 + 0.12x + (5 * -0.01 + 9x * -0.01) = 0.1
-0.06 + 0.12x + (-0.05 + -0.09x) = 0.1

Reorder the terms:
-0.06 + -0.05 + 0.12x + -0.09x = 0.1

Combine like terms: -0.06 + -0.05 = -0.11
-0.11 + 0.12x + -0.09x = 0.1

Combine like terms: 0.12x + -0.09x = 0.03x
-0.11 + 0.03x = 0.1

Solving
-0.11 + 0.03x = 0.1

Solving for variable 'x'.

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

Add '0.11' to each side of the equation.
-0.11 + 0.11 + 0.03x = 0.1 + 0.11

Combine like terms: -0.11 + 0.11 = 0.00
0.00 + 0.03x = 0.1 + 0.11
0.03x = 0.1 + 0.11

Combine like terms: 0.1 + 0.11 = 0.21
0.03x = 0.21

Divide each side by '0.03'.
x = 7

Simplifying
x = 7

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