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

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


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

Reorder the terms for easier multiplication:
5 + -1 * 3x = 3(x + 1) * 7

Multiply -1 * 3
5 + -3x = 3(x + 1) * 7

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

Reorder the terms for easier multiplication:
5 + -3x = 3 * 7(1 + x)

Multiply 3 * 7
5 + -3x = 21(1 + x)
5 + -3x = (1 * 21 + x * 21)
5 + -3x = (21 + 21x)

Solving
5 + -3x = 21 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
5 + -3x + -21x = 21 + 21x + -21x

Combine like terms: -3x + -21x = -24x
5 + -24x = 21 + 21x + -21x

Combine like terms: 21x + -21x = 0
5 + -24x = 21 + 0
5 + -24x = 21

Add '-5' to each side of the equation.
5 + -5 + -24x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + -24x = 21 + -5
-24x = 21 + -5

Combine like terms: 21 + -5 = 16
-24x = 16

Divide each side by '-24'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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