43-(3x+7)=3(x+5)+x

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Solution for 43-(3x+7)=3(x+5)+x equation: 


Simplifying
43 + -1(3x + 7) = 3(x + 5) + x

Reorder the terms:
43 + -1(7 + 3x) = 3(x + 5) + x
43 + (7 * -1 + 3x * -1) = 3(x + 5) + x
43 + (-7 + -3x) = 3(x + 5) + x

Combine like terms: 43 + -7 = 36
36 + -3x = 3(x + 5) + x

Reorder the terms:
36 + -3x = 3(5 + x) + x
36 + -3x = (5 * 3 + x * 3) + x
36 + -3x = (15 + 3x) + x

Combine like terms: 3x + x = 4x
36 + -3x = 15 + 4x

Solving
36 + -3x = 15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + -3x + -4x = 15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
36 + -7x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -7x = 15 + 0
36 + -7x = 15

Add '-36' to each side of the equation.
36 + -36 + -7x = 15 + -36

Combine like terms: 36 + -36 = 0
0 + -7x = 15 + -36
-7x = 15 + -36

Combine like terms: 15 + -36 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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