(2x-7)-3(2x-7)-40=0

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Solution for (2x-7)-3(2x-7)-40=0 equation:


Simplifying
(2x + -7) + -3(2x + -7) + -40 = 0

Reorder the terms:
(-7 + 2x) + -3(2x + -7) + -40 = 0

Remove parenthesis around (-7 + 2x)
-7 + 2x + -3(2x + -7) + -40 = 0

Reorder the terms:
-7 + 2x + -3(-7 + 2x) + -40 = 0
-7 + 2x + (-7 * -3 + 2x * -3) + -40 = 0
-7 + 2x + (21 + -6x) + -40 = 0

Reorder the terms:
-7 + 21 + -40 + 2x + -6x = 0

Combine like terms: -7 + 21 = 14
14 + -40 + 2x + -6x = 0

Combine like terms: 14 + -40 = -26
-26 + 2x + -6x = 0

Combine like terms: 2x + -6x = -4x
-26 + -4x = 0

Solving
-26 + -4x = 0

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + -4x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -4x = 0 + 26
-4x = 0 + 26

Combine like terms: 0 + 26 = 26
-4x = 26

Divide each side by '-4'.
x = -6.5

Simplifying
x = -6.5

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