7x+(-2)+(-3x)=5+8x+13

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Solution for 7x+(-2)+(-3x)=5+8x+13 equation:


Simplifying
7x + (-2) + (-3x) = 5 + 8x + 13
7x + -2 + (-3x) = 5 + 8x + 13

Reorder the terms:
-2 + 7x + (-3x) = 5 + 8x + 13

Combine like terms: 7x + (-3x) = 4x
-2 + 4x = 5 + 8x + 13

Reorder the terms:
-2 + 4x = 5 + 13 + 8x

Combine like terms: 5 + 13 = 18
-2 + 4x = 18 + 8x

Solving
-2 + 4x = 18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 4x + -8x = 18 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-2 + -4x = 18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -4x = 18 + 0
-2 + -4x = 18

Add '2' to each side of the equation.
-2 + 2 + -4x = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 18 + 2
-4x = 18 + 2

Combine like terms: 18 + 2 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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