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

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


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

Reorder the terms:
2x + 3(-9 + x) = 4(x + -3) + 2
2x + (-9 * 3 + x * 3) = 4(x + -3) + 2
2x + (-27 + 3x) = 4(x + -3) + 2

Reorder the terms:
-27 + 2x + 3x = 4(x + -3) + 2

Combine like terms: 2x + 3x = 5x
-27 + 5x = 4(x + -3) + 2

Reorder the terms:
-27 + 5x = 4(-3 + x) + 2
-27 + 5x = (-3 * 4 + x * 4) + 2
-27 + 5x = (-12 + 4x) + 2

Reorder the terms:
-27 + 5x = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
-27 + 5x = -10 + 4x

Solving
-27 + 5x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-27 + 5x + -4x = -10 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-27 + 1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 1x = -10 + 0
-27 + 1x = -10

Add '27' to each side of the equation.
-27 + 27 + 1x = -10 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -10 + 27
1x = -10 + 27

Combine like terms: -10 + 27 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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