3(x+2)=7(x-1)-5

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Solution for 3(x+2)=7(x-1)-5 equation: 


Simplifying
3(x + 2) = 7(x + -1) + -5

Reorder the terms:
3(2 + x) = 7(x + -1) + -5
(2 * 3 + x * 3) = 7(x + -1) + -5
(6 + 3x) = 7(x + -1) + -5

Reorder the terms:
6 + 3x = 7(-1 + x) + -5
6 + 3x = (-1 * 7 + x * 7) + -5
6 + 3x = (-7 + 7x) + -5

Reorder the terms:
6 + 3x = -7 + -5 + 7x

Combine like terms: -7 + -5 = -12
6 + 3x = -12 + 7x

Solving
6 + 3x = -12 + 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.
6 + 3x + -7x = -12 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = -12 + 0
6 + -4x = -12

Add '-6' to each side of the equation.
6 + -6 + -4x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -12 + -6
-4x = -12 + -6

Combine like terms: -12 + -6 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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