4(3x-2)=5(7-9x)

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Solution for 4(3x-2)=5(7-9x) equation:


Simplifying
4(3x + -2) = 5(7 + -9x)

Reorder the terms:
4(-2 + 3x) = 5(7 + -9x)
(-2 * 4 + 3x * 4) = 5(7 + -9x)
(-8 + 12x) = 5(7 + -9x)
-8 + 12x = (7 * 5 + -9x * 5)
-8 + 12x = (35 + -45x)

Solving
-8 + 12x = 35 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
-8 + 12x + 45x = 35 + -45x + 45x

Combine like terms: 12x + 45x = 57x
-8 + 57x = 35 + -45x + 45x

Combine like terms: -45x + 45x = 0
-8 + 57x = 35 + 0
-8 + 57x = 35

Add '8' to each side of the equation.
-8 + 8 + 57x = 35 + 8

Combine like terms: -8 + 8 = 0
0 + 57x = 35 + 8
57x = 35 + 8

Combine like terms: 35 + 8 = 43
57x = 43

Divide each side by '57'.
x = 0.7543859649

Simplifying
x = 0.7543859649

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