0.7(x+5)=0.5(2x-3)

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Solution for 0.7(x+5)=0.5(2x-3) equation: 


Simplifying
0.7(x + 5) = 0.5(2x + -3)

Reorder the terms:
0.7(5 + x) = 0.5(2x + -3)
(5 * 0.7 + x * 0.7) = 0.5(2x + -3)
(3.5 + 0.7x) = 0.5(2x + -3)

Reorder the terms:
3.5 + 0.7x = 0.5(-3 + 2x)
3.5 + 0.7x = (-3 * 0.5 + 2x * 0.5)
3.5 + 0.7x = (-1.5 + 1x)

Solving
3.5 + 0.7x = -1.5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3.5 + 0.7x + -1x = -1.5 + 1x + -1x

Combine like terms: 0.7x + -1x = -0.3x
3.5 + -0.3x = -1.5 + 1x + -1x

Combine like terms: 1x + -1x = 0
3.5 + -0.3x = -1.5 + 0
3.5 + -0.3x = -1.5

Add '-3.5' to each side of the equation.
3.5 + -3.5 + -0.3x = -1.5 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -0.3x = -1.5 + -3.5
-0.3x = -1.5 + -3.5

Combine like terms: -1.5 + -3.5 = -5
-0.3x = -5

Divide each side by '-0.3'.
x = 16.66666667

Simplifying
x = 16.66666667

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