3(x+3)=7(x-1)-4

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Solution for 3(x+3)=7(x-1)-4 equation:


Simplifying
3(x + 3) = 7(x + -1) + -4

Reorder the terms:
3(3 + x) = 7(x + -1) + -4
(3 * 3 + x * 3) = 7(x + -1) + -4
(9 + 3x) = 7(x + -1) + -4

Reorder the terms:
9 + 3x = 7(-1 + x) + -4
9 + 3x = (-1 * 7 + x * 7) + -4
9 + 3x = (-7 + 7x) + -4

Reorder the terms:
9 + 3x = -7 + -4 + 7x

Combine like terms: -7 + -4 = -11
9 + 3x = -11 + 7x

Solving
9 + 3x = -11 + 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.
9 + 3x + -7x = -11 + 7x + -7x

Combine like terms: 3x + -7x = -4x
9 + -4x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -4x = -11 + 0
9 + -4x = -11

Add '-9' to each side of the equation.
9 + -9 + -4x = -11 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -11 + -9
-4x = -11 + -9

Combine like terms: -11 + -9 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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