4(2x-4)-5=4(x-3)+7

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Solution for 4(2x-4)-5=4(x-3)+7 equation:


Simplifying
4(2x + -4) + -5 = 4(x + -3) + 7

Reorder the terms:
4(-4 + 2x) + -5 = 4(x + -3) + 7
(-4 * 4 + 2x * 4) + -5 = 4(x + -3) + 7
(-16 + 8x) + -5 = 4(x + -3) + 7

Reorder the terms:
-16 + -5 + 8x = 4(x + -3) + 7

Combine like terms: -16 + -5 = -21
-21 + 8x = 4(x + -3) + 7

Reorder the terms:
-21 + 8x = 4(-3 + x) + 7
-21 + 8x = (-3 * 4 + x * 4) + 7
-21 + 8x = (-12 + 4x) + 7

Reorder the terms:
-21 + 8x = -12 + 7 + 4x

Combine like terms: -12 + 7 = -5
-21 + 8x = -5 + 4x

Solving
-21 + 8x = -5 + 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.
-21 + 8x + -4x = -5 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-21 + 4x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 4x = -5 + 0
-21 + 4x = -5

Add '21' to each side of the equation.
-21 + 21 + 4x = -5 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = -5 + 21
4x = -5 + 21

Combine like terms: -5 + 21 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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