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 = -25
-25 + 3x = 4x + -9

Reorder the terms:
-25 + 3x = -9 + 4x

Solving
-25 + 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.
-25 + 3x + -4x = -9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-25 + -1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + -1x = -9 + 0
-25 + -1x = -9

Add '25' to each side of the equation.
-25 + 25 + -1x = -9 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = -9 + 25
-1x = -9 + 25

Combine like terms: -9 + 25 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

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