7+8(x-1)=6-3(x-6)

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Solution for 7+8(x-1)=6-3(x-6) equation:


Simplifying
7 + 8(x + -1) = 6 + -3(x + -6)

Reorder the terms:
7 + 8(-1 + x) = 6 + -3(x + -6)
7 + (-1 * 8 + x * 8) = 6 + -3(x + -6)
7 + (-8 + 8x) = 6 + -3(x + -6)

Combine like terms: 7 + -8 = -1
-1 + 8x = 6 + -3(x + -6)

Reorder the terms:
-1 + 8x = 6 + -3(-6 + x)
-1 + 8x = 6 + (-6 * -3 + x * -3)
-1 + 8x = 6 + (18 + -3x)

Combine like terms: 6 + 18 = 24
-1 + 8x = 24 + -3x

Solving
-1 + 8x = 24 + -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.
-1 + 8x + 3x = 24 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-1 + 11x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 11x = 24 + 0
-1 + 11x = 24

Add '1' to each side of the equation.
-1 + 1 + 11x = 24 + 1

Combine like terms: -1 + 1 = 0
0 + 11x = 24 + 1
11x = 24 + 1

Combine like terms: 24 + 1 = 25
11x = 25

Divide each side by '11'.
x = 2.272727273

Simplifying
x = 2.272727273

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