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

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


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

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

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

Reorder the terms:
2 + 3x = -7 + -5 + 7x

Combine like terms: -7 + -5 = -12
2 + 3x = -12 + 7x

Solving
2 + 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.
2 + 3x + -7x = -12 + 7x + -7x

Combine like terms: 3x + -7x = -4x
2 + -4x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -4x = -12 + 0
2 + -4x = -12

Add '-2' to each side of the equation.
2 + -2 + -4x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -12 + -2
-4x = -12 + -2

Combine like terms: -12 + -2 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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