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

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


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

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

Combine like terms: 3x + 7x = 10x
-6 + 10x = 4(x + -4)

Reorder the terms:
-6 + 10x = 4(-4 + x)
-6 + 10x = (-4 * 4 + x * 4)
-6 + 10x = (-16 + 4x)

Solving
-6 + 10x = -16 + 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.
-6 + 10x + -4x = -16 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-6 + 6x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 6x = -16 + 0
-6 + 6x = -16

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

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

Combine like terms: -16 + 6 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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