0.14x+0.2(x-3)=0.01(2x-3)

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Solution for 0.14x+0.2(x-3)=0.01(2x-3) equation:


Simplifying
0.14x + 0.2(x + -3) = 0.01(2x + -3)

Reorder the terms:
0.14x + 0.2(-3 + x) = 0.01(2x + -3)
0.14x + (-3 * 0.2 + x * 0.2) = 0.01(2x + -3)
0.14x + (-0.6 + 0.2x) = 0.01(2x + -3)

Reorder the terms:
-0.6 + 0.14x + 0.2x = 0.01(2x + -3)

Combine like terms: 0.14x + 0.2x = 0.34x
-0.6 + 0.34x = 0.01(2x + -3)

Reorder the terms:
-0.6 + 0.34x = 0.01(-3 + 2x)
-0.6 + 0.34x = (-3 * 0.01 + 2x * 0.01)
-0.6 + 0.34x = (-0.03 + 0.02x)

Solving
-0.6 + 0.34x = -0.03 + 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.
-0.6 + 0.34x + -0.02x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.34x + -0.02x = 0.32x
-0.6 + 0.32x = -0.03 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-0.6 + 0.32x = -0.03 + 0.00
-0.6 + 0.32x = -0.03

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.32x = -0.03 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.32x = -0.03 + 0.6
0.32x = -0.03 + 0.6

Combine like terms: -0.03 + 0.6 = 0.57
0.32x = 0.57

Divide each side by '0.32'.
x = 1.78125

Simplifying
x = 1.78125

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