7-21(x+3)=3x+52

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Solution for 7-21(x+3)=3x+52 equation:


Simplifying
7 + -21(x + 3) = 3x + 52

Reorder the terms:
7 + -21(3 + x) = 3x + 52
7 + (3 * -21 + x * -21) = 3x + 52
7 + (-63 + -21x) = 3x + 52

Combine like terms: 7 + -63 = -56
-56 + -21x = 3x + 52

Reorder the terms:
-56 + -21x = 52 + 3x

Solving
-56 + -21x = 52 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-56 + -21x + -3x = 52 + 3x + -3x

Combine like terms: -21x + -3x = -24x
-56 + -24x = 52 + 3x + -3x

Combine like terms: 3x + -3x = 0
-56 + -24x = 52 + 0
-56 + -24x = 52

Add '56' to each side of the equation.
-56 + 56 + -24x = 52 + 56

Combine like terms: -56 + 56 = 0
0 + -24x = 52 + 56
-24x = 52 + 56

Combine like terms: 52 + 56 = 108
-24x = 108

Divide each side by '-24'.
x = -4.5

Simplifying
x = -4.5

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