8x-2(2x+3)=-(x-5)+4

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Solution for 8x-2(2x+3)=-(x-5)+4 equation:


Simplifying
8x + -2(2x + 3) = -1(x + -5) + 4

Reorder the terms:
8x + -2(3 + 2x) = -1(x + -5) + 4
8x + (3 * -2 + 2x * -2) = -1(x + -5) + 4
8x + (-6 + -4x) = -1(x + -5) + 4

Reorder the terms:
-6 + 8x + -4x = -1(x + -5) + 4

Combine like terms: 8x + -4x = 4x
-6 + 4x = -1(x + -5) + 4

Reorder the terms:
-6 + 4x = -1(-5 + x) + 4
-6 + 4x = (-5 * -1 + x * -1) + 4
-6 + 4x = (5 + -1x) + 4

Reorder the terms:
-6 + 4x = 5 + 4 + -1x

Combine like terms: 5 + 4 = 9
-6 + 4x = 9 + -1x

Solving
-6 + 4x = 9 + -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.
-6 + 4x + x = 9 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

Add '6' to each side of the equation.
-6 + 6 + 5x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 9 + 6
5x = 9 + 6

Combine like terms: 9 + 6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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