5(x+10)-3(x+1)=0

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Solution for 5(x+10)-3(x+1)=0 equation: 


Simplifying
5(x + 10) + -3(x + 1) = 0

Reorder the terms:
5(10 + x) + -3(x + 1) = 0
(10 * 5 + x * 5) + -3(x + 1) = 0
(50 + 5x) + -3(x + 1) = 0

Reorder the terms:
50 + 5x + -3(1 + x) = 0
50 + 5x + (1 * -3 + x * -3) = 0
50 + 5x + (-3 + -3x) = 0

Reorder the terms:
50 + -3 + 5x + -3x = 0

Combine like terms: 50 + -3 = 47
47 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
47 + 2x = 0

Solving
47 + 2x = 0

Solving for variable 'x'.

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

Add '-47' to each side of the equation.
47 + -47 + 2x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 2x = 0 + -47
2x = 0 + -47

Combine like terms: 0 + -47 = -47
2x = -47

Divide each side by '2'.
x = -23.5

Simplifying
x = -23.5

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