4x-3-8x+1-4=4(x-7)

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Solution for 4x-3-8x+1-4=4(x-7) equation:


Simplifying
4x + -3 + -8x + 1 + -4 = 4(x + -7)

Reorder the terms:
-3 + 1 + -4 + 4x + -8x = 4(x + -7)

Combine like terms: -3 + 1 = -2
-2 + -4 + 4x + -8x = 4(x + -7)

Combine like terms: -2 + -4 = -6
-6 + 4x + -8x = 4(x + -7)

Combine like terms: 4x + -8x = -4x
-6 + -4x = 4(x + -7)

Reorder the terms:
-6 + -4x = 4(-7 + x)
-6 + -4x = (-7 * 4 + x * 4)
-6 + -4x = (-28 + 4x)

Solving
-6 + -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.
-6 + -4x + -4x = -28 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-6 + -8x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -8x = -28 + 0
-6 + -8x = -28

Add '6' to each side of the equation.
-6 + 6 + -8x = -28 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -28 + 6
-8x = -28 + 6

Combine like terms: -28 + 6 = -22
-8x = -22

Divide each side by '-8'.
x = 2.75

Simplifying
x = 2.75

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