4(x-4)5=x-7

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


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

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

Reorder the terms for easier multiplication:
4 * 5(-4 + x) = x + -7

Multiply 4 * 5
20(-4 + x) = x + -7
(-4 * 20 + x * 20) = x + -7
(-80 + 20x) = x + -7

Reorder the terms:
-80 + 20x = -7 + x

Solving
-80 + 20x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-80 + 20x + -1x = -7 + x + -1x

Combine like terms: 20x + -1x = 19x
-80 + 19x = -7 + x + -1x

Combine like terms: x + -1x = 0
-80 + 19x = -7 + 0
-80 + 19x = -7

Add '80' to each side of the equation.
-80 + 80 + 19x = -7 + 80

Combine like terms: -80 + 80 = 0
0 + 19x = -7 + 80
19x = -7 + 80

Combine like terms: -7 + 80 = 73
19x = 73

Divide each side by '19'.
x = 3.842105263

Simplifying
x = 3.842105263

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