.15x+.3(x-4)=.01(5x-3)

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Solution for .15x+.3(x-4)=.01(5x-3) equation:


Simplifying
0.15x + 0.3(x + -4) = 0.01(5x + -3)

Reorder the terms:
0.15x + 0.3(-4 + x) = 0.01(5x + -3)
0.15x + (-4 * 0.3 + x * 0.3) = 0.01(5x + -3)
0.15x + (-1.2 + 0.3x) = 0.01(5x + -3)

Reorder the terms:
-1.2 + 0.15x + 0.3x = 0.01(5x + -3)

Combine like terms: 0.15x + 0.3x = 0.45x
-1.2 + 0.45x = 0.01(5x + -3)

Reorder the terms:
-1.2 + 0.45x = 0.01(-3 + 5x)
-1.2 + 0.45x = (-3 * 0.01 + 5x * 0.01)
-1.2 + 0.45x = (-0.03 + 0.05x)

Solving
-1.2 + 0.45x = -0.03 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-1.2 + 0.45x + -0.05x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.45x + -0.05x = 0.4x
-1.2 + 0.4x = -0.03 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-1.2 + 0.4x = -0.03 + 0.00
-1.2 + 0.4x = -0.03

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.4x = -0.03 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.4x = -0.03 + 1.2
0.4x = -0.03 + 1.2

Combine like terms: -0.03 + 1.2 = 1.17
0.4x = 1.17

Divide each side by '0.4'.
x = 2.925

Simplifying
x = 2.925

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