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

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


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

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

Reorder the terms:
-4 + 8x = 5(1 + 3x)
-4 + 8x = (1 * 5 + 3x * 5)
-4 + 8x = (5 + 15x)

Solving
-4 + 8x = 5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 8x + -15x = 5 + 15x + -15x

Combine like terms: 8x + -15x = -7x
-4 + -7x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -7x = 5 + 0
-4 + -7x = 5

Add '4' to each side of the equation.
-4 + 4 + -7x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 5 + 4
-7x = 5 + 4

Combine like terms: 5 + 4 = 9
-7x = 9

Divide each side by '-7'.
x = -1.285714286

Simplifying
x = -1.285714286

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