x-28=4(2x+3)-5

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Solution for x-28=4(2x+3)-5 equation:


Simplifying
x + -28 = 4(2x + 3) + -5

Reorder the terms:
-28 + x = 4(2x + 3) + -5

Reorder the terms:
-28 + x = 4(3 + 2x) + -5
-28 + x = (3 * 4 + 2x * 4) + -5
-28 + x = (12 + 8x) + -5

Reorder the terms:
-28 + x = 12 + -5 + 8x

Combine like terms: 12 + -5 = 7
-28 + x = 7 + 8x

Solving
-28 + x = 7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-28 + x + -8x = 7 + 8x + -8x

Combine like terms: x + -8x = -7x
-28 + -7x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-28 + -7x = 7 + 0
-28 + -7x = 7

Add '28' to each side of the equation.
-28 + 28 + -7x = 7 + 28

Combine like terms: -28 + 28 = 0
0 + -7x = 7 + 28
-7x = 7 + 28

Combine like terms: 7 + 28 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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