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

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


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

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

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

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

Remove parenthesis around (-2 + x)
-3 + 4x = 2x + -2 + x

Reorder the terms:
-3 + 4x = -2 + 2x + x

Combine like terms: 2x + x = 3x
-3 + 4x = -2 + 3x

Solving
-3 + 4x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 4x + -3x = -2 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-3 + 1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 1x = -2 + 0
-3 + 1x = -2

Add '3' to each side of the equation.
-3 + 3 + 1x = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -2 + 3
1x = -2 + 3

Combine like terms: -2 + 3 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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