5+3(9-x)=7(3+x)+1

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Solution for 5+3(9-x)=7(3+x)+1 equation: 


Simplifying
5 + 3(9 + -1x) = 7(3 + x) + 1
5 + (9 * 3 + -1x * 3) = 7(3 + x) + 1
5 + (27 + -3x) = 7(3 + x) + 1

Combine like terms: 5 + 27 = 32
32 + -3x = 7(3 + x) + 1
32 + -3x = (3 * 7 + x * 7) + 1
32 + -3x = (21 + 7x) + 1

Reorder the terms:
32 + -3x = 21 + 1 + 7x

Combine like terms: 21 + 1 = 22
32 + -3x = 22 + 7x

Solving
32 + -3x = 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.
32 + -3x + -7x = 22 + 7x + -7x

Combine like terms: -3x + -7x = -10x
32 + -10x = 22 + 7x + -7x

Combine like terms: 7x + -7x = 0
32 + -10x = 22 + 0
32 + -10x = 22

Add '-32' to each side of the equation.
32 + -32 + -10x = 22 + -32

Combine like terms: 32 + -32 = 0
0 + -10x = 22 + -32
-10x = 22 + -32

Combine like terms: 22 + -32 = -10
-10x = -10

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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