4(2x-3)=5(x+1)

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Solution for 4(2x-3)=5(x+1) equation:


Simplifying
4(2x + -3) = 5(x + 1)

Reorder the terms:
4(-3 + 2x) = 5(x + 1)
(-3 * 4 + 2x * 4) = 5(x + 1)
(-12 + 8x) = 5(x + 1)

Reorder the terms:
-12 + 8x = 5(1 + x)
-12 + 8x = (1 * 5 + x * 5)
-12 + 8x = (5 + 5x)

Solving
-12 + 8x = 5 + 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.
-12 + 8x + -5x = 5 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-12 + 3x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 3x = 5 + 0
-12 + 3x = 5

Add '12' to each side of the equation.
-12 + 12 + 3x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = 5 + 12
3x = 5 + 12

Combine like terms: 5 + 12 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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