7(x-2)=6(x-4)+3x

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Solution for 7(x-2)=6(x-4)+3x equation:


Simplifying
7(x + -2) = 6(x + -4) + 3x

Reorder the terms:
7(-2 + x) = 6(x + -4) + 3x
(-2 * 7 + x * 7) = 6(x + -4) + 3x
(-14 + 7x) = 6(x + -4) + 3x

Reorder the terms:
-14 + 7x = 6(-4 + x) + 3x
-14 + 7x = (-4 * 6 + x * 6) + 3x
-14 + 7x = (-24 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
-14 + 7x = -24 + 9x

Solving
-14 + 7x = -24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-14 + 7x + -9x = -24 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-14 + -2x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -2x = -24 + 0
-14 + -2x = -24

Add '14' to each side of the equation.
-14 + 14 + -2x = -24 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -24 + 14
-2x = -24 + 14

Combine like terms: -24 + 14 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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