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

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


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

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

Reorder the terms:
-12 + 4x = 3(5 + 2x)
-12 + 4x = (5 * 3 + 2x * 3)
-12 + 4x = (15 + 6x)

Solving
-12 + 4x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 4x + -6x = 15 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-12 + -2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -2x = 15 + 0
-12 + -2x = 15

Add '12' to each side of the equation.
-12 + 12 + -2x = 15 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = 15 + 12
-2x = 15 + 12

Combine like terms: 15 + 12 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5

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