15-4(x+3)=11(x+5)-31

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Solution for 15-4(x+3)=11(x+5)-31 equation: 


Simplifying
15 + -4(x + 3) = 11(x + 5) + -31

Reorder the terms:
15 + -4(3 + x) = 11(x + 5) + -31
15 + (3 * -4 + x * -4) = 11(x + 5) + -31
15 + (-12 + -4x) = 11(x + 5) + -31

Combine like terms: 15 + -12 = 3
3 + -4x = 11(x + 5) + -31

Reorder the terms:
3 + -4x = 11(5 + x) + -31
3 + -4x = (5 * 11 + x * 11) + -31
3 + -4x = (55 + 11x) + -31

Reorder the terms:
3 + -4x = 55 + -31 + 11x

Combine like terms: 55 + -31 = 24
3 + -4x = 24 + 11x

Solving
3 + -4x = 24 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
3 + -4x + -11x = 24 + 11x + -11x

Combine like terms: -4x + -11x = -15x
3 + -15x = 24 + 11x + -11x

Combine like terms: 11x + -11x = 0
3 + -15x = 24 + 0
3 + -15x = 24

Add '-3' to each side of the equation.
3 + -3 + -15x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + -15x = 24 + -3
-15x = 24 + -3

Combine like terms: 24 + -3 = 21
-15x = 21

Divide each side by '-15'.
x = -1.4

Simplifying
x = -1.4

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