10+7(x-5)=3-8x

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Solution for 10+7(x-5)=3-8x equation:


Simplifying
10 + 7(x + -5) = 3 + -8x

Reorder the terms:
10 + 7(-5 + x) = 3 + -8x
10 + (-5 * 7 + x * 7) = 3 + -8x
10 + (-35 + 7x) = 3 + -8x

Combine like terms: 10 + -35 = -25
-25 + 7x = 3 + -8x

Solving
-25 + 7x = 3 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-25 + 7x + 8x = 3 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-25 + 15x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-25 + 15x = 3 + 0
-25 + 15x = 3

Add '25' to each side of the equation.
-25 + 25 + 15x = 3 + 25

Combine like terms: -25 + 25 = 0
0 + 15x = 3 + 25
15x = 3 + 25

Combine like terms: 3 + 25 = 28
15x = 28

Divide each side by '15'.
x = 1.866666667

Simplifying
x = 1.866666667

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