-5(2x-8)+3(x+5)=7

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Solution for -5(2x-8)+3(x+5)=7 equation: 


Simplifying
-5(2x + -8) + 3(x + 5) = 7

Reorder the terms:
-5(-8 + 2x) + 3(x + 5) = 7
(-8 * -5 + 2x * -5) + 3(x + 5) = 7
(40 + -10x) + 3(x + 5) = 7

Reorder the terms:
40 + -10x + 3(5 + x) = 7
40 + -10x + (5 * 3 + x * 3) = 7
40 + -10x + (15 + 3x) = 7

Reorder the terms:
40 + 15 + -10x + 3x = 7

Combine like terms: 40 + 15 = 55
55 + -10x + 3x = 7

Combine like terms: -10x + 3x = -7x
55 + -7x = 7

Solving
55 + -7x = 7

Solving for variable 'x'.

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

Add '-55' to each side of the equation.
55 + -55 + -7x = 7 + -55

Combine like terms: 55 + -55 = 0
0 + -7x = 7 + -55
-7x = 7 + -55

Combine like terms: 7 + -55 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857

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