10(x+4)-3(3x+5)-1=0

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Solution for 10(x+4)-3(3x+5)-1=0 equation:


Simplifying
10(x + 4) + -3(3x + 5) + -1 = 0

Reorder the terms:
10(4 + x) + -3(3x + 5) + -1 = 0
(4 * 10 + x * 10) + -3(3x + 5) + -1 = 0
(40 + 10x) + -3(3x + 5) + -1 = 0

Reorder the terms:
40 + 10x + -3(5 + 3x) + -1 = 0
40 + 10x + (5 * -3 + 3x * -3) + -1 = 0
40 + 10x + (-15 + -9x) + -1 = 0

Reorder the terms:
40 + -15 + -1 + 10x + -9x = 0

Combine like terms: 40 + -15 = 25
25 + -1 + 10x + -9x = 0

Combine like terms: 25 + -1 = 24
24 + 10x + -9x = 0

Combine like terms: 10x + -9x = 1x
24 + 1x = 0

Solving
24 + 1x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 1x = 0 + -24
1x = 0 + -24

Combine like terms: 0 + -24 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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