5+2(x-7)=4-8(x-1)

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Solution for 5+2(x-7)=4-8(x-1) equation:


Simplifying
5 + 2(x + -7) = 4 + -8(x + -1)

Reorder the terms:
5 + 2(-7 + x) = 4 + -8(x + -1)
5 + (-7 * 2 + x * 2) = 4 + -8(x + -1)
5 + (-14 + 2x) = 4 + -8(x + -1)

Combine like terms: 5 + -14 = -9
-9 + 2x = 4 + -8(x + -1)

Reorder the terms:
-9 + 2x = 4 + -8(-1 + x)
-9 + 2x = 4 + (-1 * -8 + x * -8)
-9 + 2x = 4 + (8 + -8x)

Combine like terms: 4 + 8 = 12
-9 + 2x = 12 + -8x

Solving
-9 + 2x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 2x + 8x = 12 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-9 + 10x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 10x = 12 + 0
-9 + 10x = 12

Add '9' to each side of the equation.
-9 + 9 + 10x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 10x = 12 + 9
10x = 12 + 9

Combine like terms: 12 + 9 = 21
10x = 21

Divide each side by '10'.
x = 2.1

Simplifying
x = 2.1

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