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

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


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

Reorder the terms:
7x + 4(-4 + 3x) = 6 + -3x
7x + (-4 * 4 + 3x * 4) = 6 + -3x
7x + (-16 + 12x) = 6 + -3x

Reorder the terms:
-16 + 7x + 12x = 6 + -3x

Combine like terms: 7x + 12x = 19x
-16 + 19x = 6 + -3x

Solving
-16 + 19x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + 19x + 3x = 6 + -3x + 3x

Combine like terms: 19x + 3x = 22x
-16 + 22x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 22x = 6 + 0
-16 + 22x = 6

Add '16' to each side of the equation.
-16 + 16 + 22x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 22x = 6 + 16
22x = 6 + 16

Combine like terms: 6 + 16 = 22
22x = 22

Divide each side by '22'.
x = 1

Simplifying
x = 1

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