0.19x+0.7(x-5)=0.01(3x-4)

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Solution for 0.19x+0.7(x-5)=0.01(3x-4) equation:


Simplifying
0.19x + 0.7(x + -5) = 0.01(3x + -4)

Reorder the terms:
0.19x + 0.7(-5 + x) = 0.01(3x + -4)
0.19x + (-5 * 0.7 + x * 0.7) = 0.01(3x + -4)
0.19x + (-3.5 + 0.7x) = 0.01(3x + -4)

Reorder the terms:
-3.5 + 0.19x + 0.7x = 0.01(3x + -4)

Combine like terms: 0.19x + 0.7x = 0.89x
-3.5 + 0.89x = 0.01(3x + -4)

Reorder the terms:
-3.5 + 0.89x = 0.01(-4 + 3x)
-3.5 + 0.89x = (-4 * 0.01 + 3x * 0.01)
-3.5 + 0.89x = (-0.04 + 0.03x)

Solving
-3.5 + 0.89x = -0.04 + 0.03x

Solving for variable 'x'.

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

Add '-0.03x' to each side of the equation.
-3.5 + 0.89x + -0.03x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.89x + -0.03x = 0.86x
-3.5 + 0.86x = -0.04 + 0.03x + -0.03x

Combine like terms: 0.03x + -0.03x = 0.00
-3.5 + 0.86x = -0.04 + 0.00
-3.5 + 0.86x = -0.04

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 0.86x = -0.04 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 0.86x = -0.04 + 3.5
0.86x = -0.04 + 3.5

Combine like terms: -0.04 + 3.5 = 3.46
0.86x = 3.46

Divide each side by '0.86'.
x = 4.023255814

Simplifying
x = 4.023255814

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