4-5(x+7)=15-8x

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Solution for 4-5(x+7)=15-8x equation:


Simplifying
4 + -5(x + 7) = 15 + -8x

Reorder the terms:
4 + -5(7 + x) = 15 + -8x
4 + (7 * -5 + x * -5) = 15 + -8x
4 + (-35 + -5x) = 15 + -8x

Combine like terms: 4 + -35 = -31
-31 + -5x = 15 + -8x

Solving
-31 + -5x = 15 + -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.
-31 + -5x + 8x = 15 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-31 + 3x = 15 + -8x + 8x

Combine like terms: -8x + 8x = 0
-31 + 3x = 15 + 0
-31 + 3x = 15

Add '31' to each side of the equation.
-31 + 31 + 3x = 15 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = 15 + 31
3x = 15 + 31

Combine like terms: 15 + 31 = 46
3x = 46

Divide each side by '3'.
x = 15.33333333

Simplifying
x = 15.33333333

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