6+4(x-1)=8-3(x-5)

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Solution for 6+4(x-1)=8-3(x-5) equation:


Simplifying
6 + 4(x + -1) = 8 + -3(x + -5)

Reorder the terms:
6 + 4(-1 + x) = 8 + -3(x + -5)
6 + (-1 * 4 + x * 4) = 8 + -3(x + -5)
6 + (-4 + 4x) = 8 + -3(x + -5)

Combine like terms: 6 + -4 = 2
2 + 4x = 8 + -3(x + -5)

Reorder the terms:
2 + 4x = 8 + -3(-5 + x)
2 + 4x = 8 + (-5 * -3 + x * -3)
2 + 4x = 8 + (15 + -3x)

Combine like terms: 8 + 15 = 23
2 + 4x = 23 + -3x

Solving
2 + 4x = 23 + -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.
2 + 4x + 3x = 23 + -3x + 3x

Combine like terms: 4x + 3x = 7x
2 + 7x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 7x = 23 + 0
2 + 7x = 23

Add '-2' to each side of the equation.
2 + -2 + 7x = 23 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 23 + -2
7x = 23 + -2

Combine like terms: 23 + -2 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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