3(x+4)=7x-6

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


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

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

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

Solving
12 + 3x = -6 + 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.
12 + 3x + -7x = -6 + 7x + -7x

Combine like terms: 3x + -7x = -4x
12 + -4x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -4x = -6 + 0
12 + -4x = -6

Add '-12' to each side of the equation.
12 + -12 + -4x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = -6 + -12
-4x = -6 + -12

Combine like terms: -6 + -12 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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