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

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


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

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

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

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

Solving
-5 + 7x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 7x + -5x = 3 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-5 + 2x = 3 + 0
-5 + 2x = 3

Add '5' to each side of the equation.
-5 + 5 + 2x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 3 + 5
2x = 3 + 5

Combine like terms: 3 + 5 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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