17-3(x+4)=15(x+5)-49

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Solution for 17-3(x+4)=15(x+5)-49 equation: 


Simplifying
17 + -3(x + 4) = 15(x + 5) + -49

Reorder the terms:
17 + -3(4 + x) = 15(x + 5) + -49
17 + (4 * -3 + x * -3) = 15(x + 5) + -49
17 + (-12 + -3x) = 15(x + 5) + -49

Combine like terms: 17 + -12 = 5
5 + -3x = 15(x + 5) + -49

Reorder the terms:
5 + -3x = 15(5 + x) + -49
5 + -3x = (5 * 15 + x * 15) + -49
5 + -3x = (75 + 15x) + -49

Reorder the terms:
5 + -3x = 75 + -49 + 15x

Combine like terms: 75 + -49 = 26
5 + -3x = 26 + 15x

Solving
5 + -3x = 26 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + -3x + -15x = 26 + 15x + -15x

Combine like terms: -3x + -15x = -18x
5 + -18x = 26 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -18x = 26 + 0
5 + -18x = 26

Add '-5' to each side of the equation.
5 + -5 + -18x = 26 + -5

Combine like terms: 5 + -5 = 0
0 + -18x = 26 + -5
-18x = 26 + -5

Combine like terms: 26 + -5 = 21
-18x = 21

Divide each side by '-18'.
x = -1.166666667

Simplifying
x = -1.166666667

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