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

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


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

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

Reorder the terms:
-4 + 8x = 3(2 + 5x)
-4 + 8x = (2 * 3 + 5x * 3)
-4 + 8x = (6 + 15x)

Solving
-4 + 8x = 6 + 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 = 6 + 15x + -15x

Combine like terms: 8x + -15x = -7x
-4 + -7x = 6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -7x = 6 + 0
-4 + -7x = 6

Add '4' to each side of the equation.
-4 + 4 + -7x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 6 + 4
-7x = 6 + 4

Combine like terms: 6 + 4 = 10
-7x = 10

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

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