4(x+5)+3(x-1)=x-13

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Solution for 4(x+5)+3(x-1)=x-13 equation: 


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

Reorder the terms:
4(5 + x) + 3(x + -1) = x + -13
(5 * 4 + x * 4) + 3(x + -1) = x + -13
(20 + 4x) + 3(x + -1) = x + -13

Reorder the terms:
20 + 4x + 3(-1 + x) = x + -13
20 + 4x + (-1 * 3 + x * 3) = x + -13
20 + 4x + (-3 + 3x) = x + -13

Reorder the terms:
20 + -3 + 4x + 3x = x + -13

Combine like terms: 20 + -3 = 17
17 + 4x + 3x = x + -13

Combine like terms: 4x + 3x = 7x
17 + 7x = x + -13

Reorder the terms:
17 + 7x = -13 + x

Solving
17 + 7x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + 7x + -1x = -13 + x + -1x

Combine like terms: 7x + -1x = 6x
17 + 6x = -13 + x + -1x

Combine like terms: x + -1x = 0
17 + 6x = -13 + 0
17 + 6x = -13

Add '-17' to each side of the equation.
17 + -17 + 6x = -13 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = -13 + -17
6x = -13 + -17

Combine like terms: -13 + -17 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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