2+4(x-3)=9-2(x-3)

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


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

Reorder the terms:
2 + 4(-3 + x) = 9 + -2(x + -3)
2 + (-3 * 4 + x * 4) = 9 + -2(x + -3)
2 + (-12 + 4x) = 9 + -2(x + -3)

Combine like terms: 2 + -12 = -10
-10 + 4x = 9 + -2(x + -3)

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

Combine like terms: 9 + 6 = 15
-10 + 4x = 15 + -2x

Solving
-10 + 4x = 15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-10 + 4x + 2x = 15 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-10 + 6x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 6x = 15 + 0
-10 + 6x = 15

Add '10' to each side of the equation.
-10 + 10 + 6x = 15 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 15 + 10
6x = 15 + 10

Combine like terms: 15 + 10 = 25
6x = 25

Divide each side by '6'.
x = 4.166666667

Simplifying
x = 4.166666667

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