5(x-1)=3x+4

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Solution for 5(x-1)=3x+4 equation:


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

Reorder the terms:
5(-1 + x) = 3x + 4
(-1 * 5 + x * 5) = 3x + 4
(-5 + 5x) = 3x + 4

Reorder the terms:
-5 + 5x = 4 + 3x

Solving
-5 + 5x = 4 + 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.
-5 + 5x + -3x = 4 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-5 + 2x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 2x = 4 + 0
-5 + 2x = 4

Add '5' to each side of the equation.
-5 + 5 + 2x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 4 + 5
2x = 4 + 5

Combine like terms: 4 + 5 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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