5(-3X-10)-(x+3)=4(4x+5)+13

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Solution for 5(-3X-10)-(x+3)=4(4x+5)+13 equation: 


Simplifying
5(-3X + -10) + -1(x + 3) = 4(4x + 5) + 13

Reorder the terms:
5(-10 + -3X) + -1(x + 3) = 4(4x + 5) + 13
(-10 * 5 + -3X * 5) + -1(x + 3) = 4(4x + 5) + 13
(-50 + -15X) + -1(x + 3) = 4(4x + 5) + 13

Reorder the terms:
-50 + -15X + -1(3 + x) = 4(4x + 5) + 13
-50 + -15X + (3 * -1 + x * -1) = 4(4x + 5) + 13
-50 + -15X + (-3 + -1x) = 4(4x + 5) + 13

Reorder the terms:
-50 + -3 + -15X + -1x = 4(4x + 5) + 13

Combine like terms: -50 + -3 = -53
-53 + -15X + -1x = 4(4x + 5) + 13

Reorder the terms:
-53 + -15X + -1x = 4(5 + 4x) + 13
-53 + -15X + -1x = (5 * 4 + 4x * 4) + 13
-53 + -15X + -1x = (20 + 16x) + 13

Reorder the terms:
-53 + -15X + -1x = 20 + 13 + 16x

Combine like terms: 20 + 13 = 33
-53 + -15X + -1x = 33 + 16x

Solving
-53 + -15X + -1x = 33 + 16x

Solving for variable 'X'.

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

Add '53' to each side of the equation.
-53 + -15X + 53 + -1x = 33 + 53 + 16x

Reorder the terms:
-53 + 53 + -15X + -1x = 33 + 53 + 16x

Combine like terms: -53 + 53 = 0
0 + -15X + -1x = 33 + 53 + 16x
-15X + -1x = 33 + 53 + 16x

Combine like terms: 33 + 53 = 86
-15X + -1x = 86 + 16x

Add 'x' to each side of the equation.
-15X + -1x + x = 86 + 16x + x

Combine like terms: -1x + x = 0
-15X + 0 = 86 + 16x + x
-15X = 86 + 16x + x

Combine like terms: 16x + x = 17x
-15X = 86 + 17x

Divide each side by '-15'.
X = -5.733333333 + -1.133333333x

Simplifying
X = -5.733333333 + -1.133333333x

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