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

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


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

Reorder the terms:
4(-5 + 2x) = 3(x + -3)
(-5 * 4 + 2x * 4) = 3(x + -3)
(-20 + 8x) = 3(x + -3)

Reorder the terms:
-20 + 8x = 3(-3 + x)
-20 + 8x = (-3 * 3 + x * 3)
-20 + 8x = (-9 + 3x)

Solving
-20 + 8x = -9 + 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.
-20 + 8x + -3x = -9 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-20 + 5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 5x = -9 + 0
-20 + 5x = -9

Add '20' to each side of the equation.
-20 + 20 + 5x = -9 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -9 + 20
5x = -9 + 20

Combine like terms: -9 + 20 = 11
5x = 11

Divide each side by '5'.
x = 2.2

Simplifying
x = 2.2

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