5(x+19)+(-7x+10)=28

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Solution for 5(x+19)+(-7x+10)=28 equation:


Simplifying
5(x + 19) + (-7x + 10) = 28

Reorder the terms:
5(19 + x) + (-7x + 10) = 28
(19 * 5 + x * 5) + (-7x + 10) = 28
(95 + 5x) + (-7x + 10) = 28

Reorder the terms:
95 + 5x + (10 + -7x) = 28

Remove parenthesis around (10 + -7x)
95 + 5x + 10 + -7x = 28

Reorder the terms:
95 + 10 + 5x + -7x = 28

Combine like terms: 95 + 10 = 105
105 + 5x + -7x = 28

Combine like terms: 5x + -7x = -2x
105 + -2x = 28

Solving
105 + -2x = 28

Solving for variable 'x'.

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

Add '-105' to each side of the equation.
105 + -105 + -2x = 28 + -105

Combine like terms: 105 + -105 = 0
0 + -2x = 28 + -105
-2x = 28 + -105

Combine like terms: 28 + -105 = -77
-2x = -77

Divide each side by '-2'.
x = 38.5

Simplifying
x = 38.5

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