0.15x+0.7(x-4)=0.01(5x-2)

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Solution for 0.15x+0.7(x-4)=0.01(5x-2) equation:


Simplifying
0.15x + 0.7(x + -4) = 0.01(5x + -2)

Reorder the terms:
0.15x + 0.7(-4 + x) = 0.01(5x + -2)
0.15x + (-4 * 0.7 + x * 0.7) = 0.01(5x + -2)
0.15x + (-2.8 + 0.7x) = 0.01(5x + -2)

Reorder the terms:
-2.8 + 0.15x + 0.7x = 0.01(5x + -2)

Combine like terms: 0.15x + 0.7x = 0.85x
-2.8 + 0.85x = 0.01(5x + -2)

Reorder the terms:
-2.8 + 0.85x = 0.01(-2 + 5x)
-2.8 + 0.85x = (-2 * 0.01 + 5x * 0.01)
-2.8 + 0.85x = (-0.02 + 0.05x)

Solving
-2.8 + 0.85x = -0.02 + 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.
-2.8 + 0.85x + -0.05x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.85x + -0.05x = 0.8x
-2.8 + 0.8x = -0.02 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-2.8 + 0.8x = -0.02 + 0.00
-2.8 + 0.8x = -0.02

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.8x = -0.02 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.8x = -0.02 + 2.8
0.8x = -0.02 + 2.8

Combine like terms: -0.02 + 2.8 = 2.78
0.8x = 2.78

Divide each side by '0.8'.
x = 3.475

Simplifying
x = 3.475

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