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

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


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

Reorder the terms:
3(7 + x) + -4 = 4x + -9
(7 * 3 + x * 3) + -4 = 4x + -9
(21 + 3x) + -4 = 4x + -9

Reorder the terms:
21 + -4 + 3x = 4x + -9

Combine like terms: 21 + -4 = 17
17 + 3x = 4x + -9

Reorder the terms:
17 + 3x = -9 + 4x

Solving
17 + 3x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + 3x + -4x = -9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
17 + -1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -1x = -9 + 0
17 + -1x = -9

Add '-17' to each side of the equation.
17 + -17 + -1x = -9 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -9 + -17
-1x = -9 + -17

Combine like terms: -9 + -17 = -26
-1x = -26

Divide each side by '-1'.
x = 26

Simplifying
x = 26

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