10(x+4)-3(2x+5)-1=10

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Solution for 10(x+4)-3(2x+5)-1=10 equation: 


Simplifying
10(x + 4) + -3(2x + 5) + -1 = 10

Reorder the terms:
10(4 + x) + -3(2x + 5) + -1 = 10
(4 * 10 + x * 10) + -3(2x + 5) + -1 = 10
(40 + 10x) + -3(2x + 5) + -1 = 10

Reorder the terms:
40 + 10x + -3(5 + 2x) + -1 = 10
40 + 10x + (5 * -3 + 2x * -3) + -1 = 10
40 + 10x + (-15 + -6x) + -1 = 10

Reorder the terms:
40 + -15 + -1 + 10x + -6x = 10

Combine like terms: 40 + -15 = 25
25 + -1 + 10x + -6x = 10

Combine like terms: 25 + -1 = 24
24 + 10x + -6x = 10

Combine like terms: 10x + -6x = 4x
24 + 4x = 10

Solving
24 + 4x = 10

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 + 4x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 10 + -24
4x = 10 + -24

Combine like terms: 10 + -24 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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