48=3(x+5)+(-1+7x)

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Solution for 48=3(x+5)+(-1+7x) equation:


Simplifying
48 = 3(x + 5) + (-1 + 7x)

Reorder the terms:
48 = 3(5 + x) + (-1 + 7x)
48 = (5 * 3 + x * 3) + (-1 + 7x)
48 = (15 + 3x) + (-1 + 7x)

Remove parenthesis around (-1 + 7x)
48 = 15 + 3x + -1 + 7x

Reorder the terms:
48 = 15 + -1 + 3x + 7x

Combine like terms: 15 + -1 = 14
48 = 14 + 3x + 7x

Combine like terms: 3x + 7x = 10x
48 = 14 + 10x

Solving
48 = 14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
48 + -10x = 14 + 10x + -10x

Combine like terms: 10x + -10x = 0
48 + -10x = 14 + 0
48 + -10x = 14

Add '-48' to each side of the equation.
48 + -48 + -10x = 14 + -48

Combine like terms: 48 + -48 = 0
0 + -10x = 14 + -48
-10x = 14 + -48

Combine like terms: 14 + -48 = -34
-10x = -34

Divide each side by '-10'.
x = 3.4

Simplifying
x = 3.4

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