0.15x+0.9(x-3)=0.01(2x-5)

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Solution for 0.15x+0.9(x-3)=0.01(2x-5) equation:


Simplifying
0.15x + 0.9(x + -3) = 0.01(2x + -5)

Reorder the terms:
0.15x + 0.9(-3 + x) = 0.01(2x + -5)
0.15x + (-3 * 0.9 + x * 0.9) = 0.01(2x + -5)
0.15x + (-2.7 + 0.9x) = 0.01(2x + -5)

Reorder the terms:
-2.7 + 0.15x + 0.9x = 0.01(2x + -5)

Combine like terms: 0.15x + 0.9x = 1.05x
-2.7 + 1.05x = 0.01(2x + -5)

Reorder the terms:
-2.7 + 1.05x = 0.01(-5 + 2x)
-2.7 + 1.05x = (-5 * 0.01 + 2x * 0.01)
-2.7 + 1.05x = (-0.05 + 0.02x)

Solving
-2.7 + 1.05x = -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.
-2.7 + 1.05x + -0.02x = -0.05 + 0.02x + -0.02x

Combine like terms: 1.05x + -0.02x = 1.03x
-2.7 + 1.03x = -0.05 + 0.02x + -0.02x

Combine like terms: 0.02x + -0.02x = 0.00
-2.7 + 1.03x = -0.05 + 0.00
-2.7 + 1.03x = -0.05

Add '2.7' to each side of the equation.
-2.7 + 2.7 + 1.03x = -0.05 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 1.03x = -0.05 + 2.7
1.03x = -0.05 + 2.7

Combine like terms: -0.05 + 2.7 = 2.65
1.03x = 2.65

Divide each side by '1.03'.
x = 2.572815534

Simplifying
x = 2.572815534

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