7x-4=3(15-x)-1

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Solution for 7x-4=3(15-x)-1 equation:


Simplifying
7x + -4 = 3(15 + -1x) + -1

Reorder the terms:
-4 + 7x = 3(15 + -1x) + -1
-4 + 7x = (15 * 3 + -1x * 3) + -1
-4 + 7x = (45 + -3x) + -1

Reorder the terms:
-4 + 7x = 45 + -1 + -3x

Combine like terms: 45 + -1 = 44
-4 + 7x = 44 + -3x

Solving
-4 + 7x = 44 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 7x + 3x = 44 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-4 + 10x = 44 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 10x = 44 + 0
-4 + 10x = 44

Add '4' to each side of the equation.
-4 + 4 + 10x = 44 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 44 + 4
10x = 44 + 4

Combine like terms: 44 + 4 = 48
10x = 48

Divide each side by '10'.
x = 4.8

Simplifying
x = 4.8

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