7+2(x-8)=1-4(x-3)

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Solution for 7+2(x-8)=1-4(x-3) equation:


Simplifying
7 + 2(x + -8) = 1 + -4(x + -3)

Reorder the terms:
7 + 2(-8 + x) = 1 + -4(x + -3)
7 + (-8 * 2 + x * 2) = 1 + -4(x + -3)
7 + (-16 + 2x) = 1 + -4(x + -3)

Combine like terms: 7 + -16 = -9
-9 + 2x = 1 + -4(x + -3)

Reorder the terms:
-9 + 2x = 1 + -4(-3 + x)
-9 + 2x = 1 + (-3 * -4 + x * -4)
-9 + 2x = 1 + (12 + -4x)

Combine like terms: 1 + 12 = 13
-9 + 2x = 13 + -4x

Solving
-9 + 2x = 13 + -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.
-9 + 2x + 4x = 13 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-9 + 6x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 6x = 13 + 0
-9 + 6x = 13

Add '9' to each side of the equation.
-9 + 9 + 6x = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 13 + 9
6x = 13 + 9

Combine like terms: 13 + 9 = 22
6x = 22

Divide each side by '6'.
x = 3.666666667

Simplifying
x = 3.666666667

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