.13x+.7(x-4)=.01(2x-1)

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Solution for .13x+.7(x-4)=.01(2x-1) equation:


Simplifying
0.13x + 0.7(x + -4) = 0.01(2x + -1)

Reorder the terms:
0.13x + 0.7(-4 + x) = 0.01(2x + -1)
0.13x + (-4 * 0.7 + x * 0.7) = 0.01(2x + -1)
0.13x + (-2.8 + 0.7x) = 0.01(2x + -1)

Reorder the terms:
-2.8 + 0.13x + 0.7x = 0.01(2x + -1)

Combine like terms: 0.13x + 0.7x = 0.83x
-2.8 + 0.83x = 0.01(2x + -1)

Reorder the terms:
-2.8 + 0.83x = 0.01(-1 + 2x)
-2.8 + 0.83x = (-1 * 0.01 + 2x * 0.01)
-2.8 + 0.83x = (-0.01 + 0.02x)

Solving
-2.8 + 0.83x = -0.01 + 0.02x

Solving for variable 'x'.

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

Add '-0.02x' to each side of the equation.
-2.8 + 0.83x + -0.02x = -0.01 + 0.02x + -0.02x

Combine like terms: 0.83x + -0.02x = 0.81x
-2.8 + 0.81x = -0.01 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-2.8 + 0.81x = -0.01 + 0.00
-2.8 + 0.81x = -0.01

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.81x = -0.01 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.81x = -0.01 + 2.8
0.81x = -0.01 + 2.8

Combine like terms: -0.01 + 2.8 = 2.79
0.81x = 2.79

Divide each side by '0.81'.
x = 3.444444444

Simplifying
x = 3.444444444

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