.14x+.2(x-1)=.01(2x-5)

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Solution for .14x+.2(x-1)=.01(2x-5) equation:


Simplifying
0.14x + 0.2(x + -1) = 0.01(2x + -5)

Reorder the terms:
0.14x + 0.2(-1 + x) = 0.01(2x + -5)
0.14x + (-1 * 0.2 + x * 0.2) = 0.01(2x + -5)
0.14x + (-0.2 + 0.2x) = 0.01(2x + -5)

Reorder the terms:
-0.2 + 0.14x + 0.2x = 0.01(2x + -5)

Combine like terms: 0.14x + 0.2x = 0.34x
-0.2 + 0.34x = 0.01(2x + -5)

Reorder the terms:
-0.2 + 0.34x = 0.01(-5 + 2x)
-0.2 + 0.34x = (-5 * 0.01 + 2x * 0.01)
-0.2 + 0.34x = (-0.05 + 0.02x)

Solving
-0.2 + 0.34x = -0.05 + 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.
-0.2 + 0.34x + -0.02x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.34x + -0.02x = 0.32x
-0.2 + 0.32x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.2 + 0.32x = -0.05 + 0.00
-0.2 + 0.32x = -0.05

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.32x = -0.05 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.32x = -0.05 + 0.2
0.32x = -0.05 + 0.2

Combine like terms: -0.05 + 0.2 = 0.15
0.32x = 0.15

Divide each side by '0.32'.
x = 0.46875

Simplifying
x = 0.46875

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