7(x-1)=3x+2

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


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

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

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

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

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

Combine like terms: 3x + -3x = 0
-7 + 4x = 2 + 0
-7 + 4x = 2

Add '7' to each side of the equation.
-7 + 7 + 4x = 2 + 7

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

Combine like terms: 2 + 7 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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