2(x-4)-3(x-7)=17

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Solution for 2(x-4)-3(x-7)=17 equation:


Simplifying
2(x + -4) + -3(x + -7) = 17

Reorder the terms:
2(-4 + x) + -3(x + -7) = 17
(-4 * 2 + x * 2) + -3(x + -7) = 17
(-8 + 2x) + -3(x + -7) = 17

Reorder the terms:
-8 + 2x + -3(-7 + x) = 17
-8 + 2x + (-7 * -3 + x * -3) = 17
-8 + 2x + (21 + -3x) = 17

Reorder the terms:
-8 + 21 + 2x + -3x = 17

Combine like terms: -8 + 21 = 13
13 + 2x + -3x = 17

Combine like terms: 2x + -3x = -1x
13 + -1x = 17

Solving
13 + -1x = 17

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 17 + -13
-1x = 17 + -13

Combine like terms: 17 + -13 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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