4(x-9)+7(2x+9)=17(x+2)+2

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Solution for 4(x-9)+7(2x+9)=17(x+2)+2 equation:


Simplifying
4(x + -9) + 7(2x + 9) = 17(x + 2) + 2

Reorder the terms:
4(-9 + x) + 7(2x + 9) = 17(x + 2) + 2
(-9 * 4 + x * 4) + 7(2x + 9) = 17(x + 2) + 2
(-36 + 4x) + 7(2x + 9) = 17(x + 2) + 2

Reorder the terms:
-36 + 4x + 7(9 + 2x) = 17(x + 2) + 2
-36 + 4x + (9 * 7 + 2x * 7) = 17(x + 2) + 2
-36 + 4x + (63 + 14x) = 17(x + 2) + 2

Reorder the terms:
-36 + 63 + 4x + 14x = 17(x + 2) + 2

Combine like terms: -36 + 63 = 27
27 + 4x + 14x = 17(x + 2) + 2

Combine like terms: 4x + 14x = 18x
27 + 18x = 17(x + 2) + 2

Reorder the terms:
27 + 18x = 17(2 + x) + 2
27 + 18x = (2 * 17 + x * 17) + 2
27 + 18x = (34 + 17x) + 2

Reorder the terms:
27 + 18x = 34 + 2 + 17x

Combine like terms: 34 + 2 = 36
27 + 18x = 36 + 17x

Solving
27 + 18x = 36 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
27 + 18x + -17x = 36 + 17x + -17x

Combine like terms: 18x + -17x = 1x
27 + 1x = 36 + 17x + -17x

Combine like terms: 17x + -17x = 0
27 + 1x = 36 + 0
27 + 1x = 36

Add '-27' to each side of the equation.
27 + -27 + 1x = 36 + -27

Combine like terms: 27 + -27 = 0
0 + 1x = 36 + -27
1x = 36 + -27

Combine like terms: 36 + -27 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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