4(2x-6)-3=4(x-2)+5

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Solution for 4(2x-6)-3=4(x-2)+5 equation:


Simplifying
4(2x + -6) + -3 = 4(x + -2) + 5

Reorder the terms:
4(-6 + 2x) + -3 = 4(x + -2) + 5
(-6 * 4 + 2x * 4) + -3 = 4(x + -2) + 5
(-24 + 8x) + -3 = 4(x + -2) + 5

Reorder the terms:
-24 + -3 + 8x = 4(x + -2) + 5

Combine like terms: -24 + -3 = -27
-27 + 8x = 4(x + -2) + 5

Reorder the terms:
-27 + 8x = 4(-2 + x) + 5
-27 + 8x = (-2 * 4 + x * 4) + 5
-27 + 8x = (-8 + 4x) + 5

Reorder the terms:
-27 + 8x = -8 + 5 + 4x

Combine like terms: -8 + 5 = -3
-27 + 8x = -3 + 4x

Solving
-27 + 8x = -3 + 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.
-27 + 8x + -4x = -3 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-27 + 4x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 4x = -3 + 0
-27 + 4x = -3

Add '27' to each side of the equation.
-27 + 27 + 4x = -3 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = -3 + 27
4x = -3 + 27

Combine like terms: -3 + 27 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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