5(x-4)=-3(x+1)+11

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Solution for 5(x-4)=-3(x+1)+11 equation:


Simplifying
5(x + -4) = -3(x + 1) + 11

Reorder the terms:
5(-4 + x) = -3(x + 1) + 11
(-4 * 5 + x * 5) = -3(x + 1) + 11
(-20 + 5x) = -3(x + 1) + 11

Reorder the terms:
-20 + 5x = -3(1 + x) + 11
-20 + 5x = (1 * -3 + x * -3) + 11
-20 + 5x = (-3 + -3x) + 11

Reorder the terms:
-20 + 5x = -3 + 11 + -3x

Combine like terms: -3 + 11 = 8
-20 + 5x = 8 + -3x

Solving
-20 + 5x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-20 + 5x + 3x = 8 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-20 + 8x = 8 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 8x = 8 + 0
-20 + 8x = 8

Add '20' to each side of the equation.
-20 + 20 + 8x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 8 + 20
8x = 8 + 20

Combine like terms: 8 + 20 = 28
8x = 28

Divide each side by '8'.
x = 3.5

Simplifying
x = 3.5

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