20-3(x+3)=7(x+5)-8

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Solution for 20-3(x+3)=7(x+5)-8 equation: 


Simplifying
20 + -3(x + 3) = 7(x + 5) + -8

Reorder the terms:
20 + -3(3 + x) = 7(x + 5) + -8
20 + (3 * -3 + x * -3) = 7(x + 5) + -8
20 + (-9 + -3x) = 7(x + 5) + -8

Combine like terms: 20 + -9 = 11
11 + -3x = 7(x + 5) + -8

Reorder the terms:
11 + -3x = 7(5 + x) + -8
11 + -3x = (5 * 7 + x * 7) + -8
11 + -3x = (35 + 7x) + -8

Reorder the terms:
11 + -3x = 35 + -8 + 7x

Combine like terms: 35 + -8 = 27
11 + -3x = 27 + 7x

Solving
11 + -3x = 27 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
11 + -3x + -7x = 27 + 7x + -7x

Combine like terms: -3x + -7x = -10x
11 + -10x = 27 + 7x + -7x

Combine like terms: 7x + -7x = 0
11 + -10x = 27 + 0
11 + -10x = 27

Add '-11' to each side of the equation.
11 + -11 + -10x = 27 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = 27 + -11
-10x = 27 + -11

Combine like terms: 27 + -11 = 16
-10x = 16

Divide each side by '-10'.
x = -1.6

Simplifying
x = -1.6

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