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

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


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

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

Combine like terms: 2 + -7 = -5
-4 + 4x + 2(-5) = 8

Multiply 2 * -5
-4 + 4x + -10 = 8

Reorder the terms:
-4 + -10 + 4x = 8

Combine like terms: -4 + -10 = -14
-14 + 4x = 8

Solving
-14 + 4x = 8

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 8 + 14
4x = 8 + 14

Combine like terms: 8 + 14 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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