.14(5x+4)=.5(3x-10)+4

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Solution for .14(5x+4)=.5(3x-10)+4 equation:


Simplifying
0.14(5x + 4) = 0.5(3x + -10) + 4

Reorder the terms:
0.14(4 + 5x) = 0.5(3x + -10) + 4
(4 * 0.14 + 5x * 0.14) = 0.5(3x + -10) + 4
(0.56 + 0.7x) = 0.5(3x + -10) + 4

Reorder the terms:
0.56 + 0.7x = 0.5(-10 + 3x) + 4
0.56 + 0.7x = (-10 * 0.5 + 3x * 0.5) + 4
0.56 + 0.7x = (-5 + 1.5x) + 4

Reorder the terms:
0.56 + 0.7x = -5 + 4 + 1.5x

Combine like terms: -5 + 4 = -1
0.56 + 0.7x = -1 + 1.5x

Solving
0.56 + 0.7x = -1 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
0.56 + 0.7x + -1.5x = -1 + 1.5x + -1.5x

Combine like terms: 0.7x + -1.5x = -0.8x
0.56 + -0.8x = -1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.56 + -0.8x = -1 + 0.0
0.56 + -0.8x = -1

Add '-0.56' to each side of the equation.
0.56 + -0.56 + -0.8x = -1 + -0.56

Combine like terms: 0.56 + -0.56 = 0.00
0.00 + -0.8x = -1 + -0.56
-0.8x = -1 + -0.56

Combine like terms: -1 + -0.56 = -1.56
-0.8x = -1.56

Divide each side by '-0.8'.
x = 1.95

Simplifying
x = 1.95

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