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

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


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

Reorder the terms:
4(3 + x) = 5(3x + -2)
(3 * 4 + x * 4) = 5(3x + -2)
(12 + 4x) = 5(3x + -2)

Reorder the terms:
12 + 4x = 5(-2 + 3x)
12 + 4x = (-2 * 5 + 3x * 5)
12 + 4x = (-10 + 15x)

Solving
12 + 4x = -10 + 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.
12 + 4x + -15x = -10 + 15x + -15x

Combine like terms: 4x + -15x = -11x
12 + -11x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
12 + -11x = -10 + 0
12 + -11x = -10

Add '-12' to each side of the equation.
12 + -12 + -11x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -11x = -10 + -12
-11x = -10 + -12

Combine like terms: -10 + -12 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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