-4(x+5)+1=4(x+7)

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Solution for -4(x+5)+1=4(x+7) equation:


Simplifying
-4(x + 5) + 1 = 4(x + 7)

Reorder the terms:
-4(5 + x) + 1 = 4(x + 7)
(5 * -4 + x * -4) + 1 = 4(x + 7)
(-20 + -4x) + 1 = 4(x + 7)

Reorder the terms:
-20 + 1 + -4x = 4(x + 7)

Combine like terms: -20 + 1 = -19
-19 + -4x = 4(x + 7)

Reorder the terms:
-19 + -4x = 4(7 + x)
-19 + -4x = (7 * 4 + x * 4)
-19 + -4x = (28 + 4x)

Solving
-19 + -4x = 28 + 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.
-19 + -4x + -4x = 28 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-19 + -8x = 28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + -8x = 28 + 0
-19 + -8x = 28

Add '19' to each side of the equation.
-19 + 19 + -8x = 28 + 19

Combine like terms: -19 + 19 = 0
0 + -8x = 28 + 19
-8x = 28 + 19

Combine like terms: 28 + 19 = 47
-8x = 47

Divide each side by '-8'.
x = -5.875

Simplifying
x = -5.875

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