48-(7x+4)=7(x+2)+x

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Solution for 48-(7x+4)=7(x+2)+x equation:


Simplifying
48 + -1(7x + 4) = 7(x + 2) + x

Reorder the terms:
48 + -1(4 + 7x) = 7(x + 2) + x
48 + (4 * -1 + 7x * -1) = 7(x + 2) + x
48 + (-4 + -7x) = 7(x + 2) + x

Combine like terms: 48 + -4 = 44
44 + -7x = 7(x + 2) + x

Reorder the terms:
44 + -7x = 7(2 + x) + x
44 + -7x = (2 * 7 + x * 7) + x
44 + -7x = (14 + 7x) + x

Combine like terms: 7x + x = 8x
44 + -7x = 14 + 8x

Solving
44 + -7x = 14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
44 + -7x + -8x = 14 + 8x + -8x

Combine like terms: -7x + -8x = -15x
44 + -15x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
44 + -15x = 14 + 0
44 + -15x = 14

Add '-44' to each side of the equation.
44 + -44 + -15x = 14 + -44

Combine like terms: 44 + -44 = 0
0 + -15x = 14 + -44
-15x = 14 + -44

Combine like terms: 14 + -44 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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