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

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


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

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

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

Combine like terms: -12 + 2 = -10
-10 + 4x = -3(3x + -2)

Reorder the terms:
-10 + 4x = -3(-2 + 3x)
-10 + 4x = (-2 * -3 + 3x * -3)
-10 + 4x = (6 + -9x)

Solving
-10 + 4x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-10 + 4x + 9x = 6 + -9x + 9x

Combine like terms: 4x + 9x = 13x
-10 + 13x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-10 + 13x = 6 + 0
-10 + 13x = 6

Add '10' to each side of the equation.
-10 + 10 + 13x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 13x = 6 + 10
13x = 6 + 10

Combine like terms: 6 + 10 = 16
13x = 16

Divide each side by '13'.
x = 1.230769231

Simplifying
x = 1.230769231

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