3(x-4)-7=7(x-6)

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Solution for 3(x-4)-7=7(x-6) equation:


Simplifying
3(x + -4) + -7 = 7(x + -6)

Reorder the terms:
3(-4 + x) + -7 = 7(x + -6)
(-4 * 3 + x * 3) + -7 = 7(x + -6)
(-12 + 3x) + -7 = 7(x + -6)

Reorder the terms:
-12 + -7 + 3x = 7(x + -6)

Combine like terms: -12 + -7 = -19
-19 + 3x = 7(x + -6)

Reorder the terms:
-19 + 3x = 7(-6 + x)
-19 + 3x = (-6 * 7 + x * 7)
-19 + 3x = (-42 + 7x)

Solving
-19 + 3x = -42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-19 + 3x + -7x = -42 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-19 + -4x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
-19 + -4x = -42 + 0
-19 + -4x = -42

Add '19' to each side of the equation.
-19 + 19 + -4x = -42 + 19

Combine like terms: -19 + 19 = 0
0 + -4x = -42 + 19
-4x = -42 + 19

Combine like terms: -42 + 19 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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