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

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


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

Reorder the terms:
3(-3 + 2x) = 4(5x + -1x)
(-3 * 3 + 2x * 3) = 4(5x + -1x)
(-9 + 6x) = 4(5x + -1x)

Combine like terms: 5x + -1x = 4x
-9 + 6x = 4(4x)

Remove parenthesis around (4x)
-9 + 6x = 4 * 4x

Multiply 4 * 4
-9 + 6x = 16x

Solving
-9 + 6x = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-9 + 6x + -16x = 16x + -16x

Combine like terms: 6x + -16x = -10x
-9 + -10x = 16x + -16x

Combine like terms: 16x + -16x = 0
-9 + -10x = 0

Add '9' to each side of the equation.
-9 + 9 + -10x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = 0 + 9
-10x = 0 + 9

Combine like terms: 0 + 9 = 9
-10x = 9

Divide each side by '-10'.
x = -0.9

Simplifying
x = -0.9

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