3(x-2)+7(x-2)=9(1+x)+4

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Solution for 3(x-2)+7(x-2)=9(1+x)+4 equation:


Simplifying
3(x + -2) + 7(x + -2) = 9(1 + x) + 4

Reorder the terms:
3(-2 + x) + 7(x + -2) = 9(1 + x) + 4
(-2 * 3 + x * 3) + 7(x + -2) = 9(1 + x) + 4
(-6 + 3x) + 7(x + -2) = 9(1 + x) + 4

Reorder the terms:
-6 + 3x + 7(-2 + x) = 9(1 + x) + 4
-6 + 3x + (-2 * 7 + x * 7) = 9(1 + x) + 4
-6 + 3x + (-14 + 7x) = 9(1 + x) + 4

Reorder the terms:
-6 + -14 + 3x + 7x = 9(1 + x) + 4

Combine like terms: -6 + -14 = -20
-20 + 3x + 7x = 9(1 + x) + 4

Combine like terms: 3x + 7x = 10x
-20 + 10x = 9(1 + x) + 4
-20 + 10x = (1 * 9 + x * 9) + 4
-20 + 10x = (9 + 9x) + 4

Reorder the terms:
-20 + 10x = 9 + 4 + 9x

Combine like terms: 9 + 4 = 13
-20 + 10x = 13 + 9x

Solving
-20 + 10x = 13 + 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.
-20 + 10x + -9x = 13 + 9x + -9x

Combine like terms: 10x + -9x = 1x
-20 + 1x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-20 + 1x = 13 + 0
-20 + 1x = 13

Add '20' to each side of the equation.
-20 + 20 + 1x = 13 + 20

Combine like terms: -20 + 20 = 0
0 + 1x = 13 + 20
1x = 13 + 20

Combine like terms: 13 + 20 = 33
1x = 33

Divide each side by '1'.
x = 33

Simplifying
x = 33

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