1+6(x-4)=7-2(x-7)

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Solution for 1+6(x-4)=7-2(x-7) equation:


Simplifying
1 + 6(x + -4) = 7 + -2(x + -7)

Reorder the terms:
1 + 6(-4 + x) = 7 + -2(x + -7)
1 + (-4 * 6 + x * 6) = 7 + -2(x + -7)
1 + (-24 + 6x) = 7 + -2(x + -7)

Combine like terms: 1 + -24 = -23
-23 + 6x = 7 + -2(x + -7)

Reorder the terms:
-23 + 6x = 7 + -2(-7 + x)
-23 + 6x = 7 + (-7 * -2 + x * -2)
-23 + 6x = 7 + (14 + -2x)

Combine like terms: 7 + 14 = 21
-23 + 6x = 21 + -2x

Solving
-23 + 6x = 21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-23 + 6x + 2x = 21 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-23 + 8x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 8x = 21 + 0
-23 + 8x = 21

Add '23' to each side of the equation.
-23 + 23 + 8x = 21 + 23

Combine like terms: -23 + 23 = 0
0 + 8x = 21 + 23
8x = 21 + 23

Combine like terms: 21 + 23 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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