19-(x+3)=7(x+3)+1

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Solution for 19-(x+3)=7(x+3)+1 equation: 


Simplifying
19 + -1(x + 3) = 7(x + 3) + 1

Reorder the terms:
19 + -1(3 + x) = 7(x + 3) + 1
19 + (3 * -1 + x * -1) = 7(x + 3) + 1
19 + (-3 + -1x) = 7(x + 3) + 1

Combine like terms: 19 + -3 = 16
16 + -1x = 7(x + 3) + 1

Reorder the terms:
16 + -1x = 7(3 + x) + 1
16 + -1x = (3 * 7 + x * 7) + 1
16 + -1x = (21 + 7x) + 1

Reorder the terms:
16 + -1x = 21 + 1 + 7x

Combine like terms: 21 + 1 = 22
16 + -1x = 22 + 7x

Solving
16 + -1x = 22 + 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.
16 + -1x + -7x = 22 + 7x + -7x

Combine like terms: -1x + -7x = -8x
16 + -8x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -8x = 22 + 0
16 + -8x = 22

Add '-16' to each side of the equation.
16 + -16 + -8x = 22 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 22 + -16
-8x = 22 + -16

Combine like terms: 22 + -16 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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