7(x-9)-3=2(x-9)+17

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Solution for 7(x-9)-3=2(x-9)+17 equation:


Simplifying
7(x + -9) + -3 = 2(x + -9) + 17

Reorder the terms:
7(-9 + x) + -3 = 2(x + -9) + 17
(-9 * 7 + x * 7) + -3 = 2(x + -9) + 17
(-63 + 7x) + -3 = 2(x + -9) + 17

Reorder the terms:
-63 + -3 + 7x = 2(x + -9) + 17

Combine like terms: -63 + -3 = -66
-66 + 7x = 2(x + -9) + 17

Reorder the terms:
-66 + 7x = 2(-9 + x) + 17
-66 + 7x = (-9 * 2 + x * 2) + 17
-66 + 7x = (-18 + 2x) + 17

Reorder the terms:
-66 + 7x = -18 + 17 + 2x

Combine like terms: -18 + 17 = -1
-66 + 7x = -1 + 2x

Solving
-66 + 7x = -1 + 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.
-66 + 7x + -2x = -1 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-66 + 5x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-66 + 5x = -1 + 0
-66 + 5x = -1

Add '66' to each side of the equation.
-66 + 66 + 5x = -1 + 66

Combine like terms: -66 + 66 = 0
0 + 5x = -1 + 66
5x = -1 + 66

Combine like terms: -1 + 66 = 65
5x = 65

Divide each side by '5'.
x = 13

Simplifying
x = 13

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