7(x-13)-3=2(x-13)+17

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Solution for 7(x-13)-3=2(x-13)+17 equation:


Simplifying
7(x + -13) + -3 = 2(x + -13) + 17

Reorder the terms:
7(-13 + x) + -3 = 2(x + -13) + 17
(-13 * 7 + x * 7) + -3 = 2(x + -13) + 17
(-91 + 7x) + -3 = 2(x + -13) + 17

Reorder the terms:
-91 + -3 + 7x = 2(x + -13) + 17

Combine like terms: -91 + -3 = -94
-94 + 7x = 2(x + -13) + 17

Reorder the terms:
-94 + 7x = 2(-13 + x) + 17
-94 + 7x = (-13 * 2 + x * 2) + 17
-94 + 7x = (-26 + 2x) + 17

Reorder the terms:
-94 + 7x = -26 + 17 + 2x

Combine like terms: -26 + 17 = -9
-94 + 7x = -9 + 2x

Solving
-94 + 7x = -9 + 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.
-94 + 7x + -2x = -9 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-94 + 5x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-94 + 5x = -9 + 0
-94 + 5x = -9

Add '94' to each side of the equation.
-94 + 94 + 5x = -9 + 94

Combine like terms: -94 + 94 = 0
0 + 5x = -9 + 94
5x = -9 + 94

Combine like terms: -9 + 94 = 85
5x = 85

Divide each side by '5'.
x = 17

Simplifying
x = 17

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