0.11x+0.7(x-3)=0.01(5x-4)

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Solution for 0.11x+0.7(x-3)=0.01(5x-4) equation:


Simplifying
0.11x + 0.7(x + -3) = 0.01(5x + -4)

Reorder the terms:
0.11x + 0.7(-3 + x) = 0.01(5x + -4)
0.11x + (-3 * 0.7 + x * 0.7) = 0.01(5x + -4)
0.11x + (-2.1 + 0.7x) = 0.01(5x + -4)

Reorder the terms:
-2.1 + 0.11x + 0.7x = 0.01(5x + -4)

Combine like terms: 0.11x + 0.7x = 0.81x
-2.1 + 0.81x = 0.01(5x + -4)

Reorder the terms:
-2.1 + 0.81x = 0.01(-4 + 5x)
-2.1 + 0.81x = (-4 * 0.01 + 5x * 0.01)
-2.1 + 0.81x = (-0.04 + 0.05x)

Solving
-2.1 + 0.81x = -0.04 + 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.
-2.1 + 0.81x + -0.05x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.81x + -0.05x = 0.76x
-2.1 + 0.76x = -0.04 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-2.1 + 0.76x = -0.04 + 0.00
-2.1 + 0.76x = -0.04

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 0.76x = -0.04 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 0.76x = -0.04 + 2.1
0.76x = -0.04 + 2.1

Combine like terms: -0.04 + 2.1 = 2.06
0.76x = 2.06

Divide each side by '0.76'.
x = 2.710526316

Simplifying
x = 2.710526316

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