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

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


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

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

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

Reorder the terms:
-8 + 4x = 5 + -1 + -5 + -1x

Combine like terms: 5 + -1 = 4
-8 + 4x = 4 + -5 + -1x

Combine like terms: 4 + -5 = -1
-8 + 4x = -1 + -1x

Solving
-8 + 4x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 4x + x = -1 + -1x + x

Combine like terms: 4x + x = 5x
-8 + 5x = -1 + -1x + x

Combine like terms: -1x + x = 0
-8 + 5x = -1 + 0
-8 + 5x = -1

Add '8' to each side of the equation.
-8 + 8 + 5x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -1 + 8
5x = -1 + 8

Combine like terms: -1 + 8 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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