(0.42)(5x+4)=(2.5)(3x-4)

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Solution for (0.42)(5x+4)=(2.5)(3x-4) equation: 


Simplifying
(0.42)(5x + 4) = (2.5)(3x + -4)

Reorder the terms:
0.42(4 + 5x) = (2.5)(3x + -4)
(4 * 0.42 + 5x * 0.42) = (2.5)(3x + -4)
(1.68 + 2.1x) = (2.5)(3x + -4)

Reorder the terms:
1.68 + 2.1x = 2.5(-4 + 3x)
1.68 + 2.1x = (-4 * 2.5 + 3x * 2.5)
1.68 + 2.1x = (-10 + 7.5x)

Solving
1.68 + 2.1x = -10 + 7.5x

Solving for variable 'x'.

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

Add '-7.5x' to each side of the equation.
1.68 + 2.1x + -7.5x = -10 + 7.5x + -7.5x

Combine like terms: 2.1x + -7.5x = -5.4x
1.68 + -5.4x = -10 + 7.5x + -7.5x

Combine like terms: 7.5x + -7.5x = 0.0
1.68 + -5.4x = -10 + 0.0
1.68 + -5.4x = -10

Add '-1.68' to each side of the equation.
1.68 + -1.68 + -5.4x = -10 + -1.68

Combine like terms: 1.68 + -1.68 = 0.00
0.00 + -5.4x = -10 + -1.68
-5.4x = -10 + -1.68

Combine like terms: -10 + -1.68 = -11.68
-5.4x = -11.68

Divide each side by '-5.4'.
x = 2.162962963

Simplifying
x = 2.162962963

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