3(x-7)+5x=6-(x-4)

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Solution for 3(x-7)+5x=6-(x-4) equation:


Simplifying
3(x + -7) + 5x = 6 + -1(x + -4)

Reorder the terms:
3(-7 + x) + 5x = 6 + -1(x + -4)
(-7 * 3 + x * 3) + 5x = 6 + -1(x + -4)
(-21 + 3x) + 5x = 6 + -1(x + -4)

Combine like terms: 3x + 5x = 8x
-21 + 8x = 6 + -1(x + -4)

Reorder the terms:
-21 + 8x = 6 + -1(-4 + x)
-21 + 8x = 6 + (-4 * -1 + x * -1)
-21 + 8x = 6 + (4 + -1x)

Combine like terms: 6 + 4 = 10
-21 + 8x = 10 + -1x

Solving
-21 + 8x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 8x + x = 10 + -1x + x

Combine like terms: 8x + x = 9x
-21 + 9x = 10 + -1x + x

Combine like terms: -1x + x = 0
-21 + 9x = 10 + 0
-21 + 9x = 10

Add '21' to each side of the equation.
-21 + 21 + 9x = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 9x = 10 + 21
9x = 10 + 21

Combine like terms: 10 + 21 = 31
9x = 31

Divide each side by '9'.
x = 3.444444444

Simplifying
x = 3.444444444

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