90-(7x+16)=7(x+2)+x

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Solution for 90-(7x+16)=7(x+2)+x equation:


Simplifying
90 + -1(7x + 16) = 7(x + 2) + x

Reorder the terms:
90 + -1(16 + 7x) = 7(x + 2) + x
90 + (16 * -1 + 7x * -1) = 7(x + 2) + x
90 + (-16 + -7x) = 7(x + 2) + x

Combine like terms: 90 + -16 = 74
74 + -7x = 7(x + 2) + x

Reorder the terms:
74 + -7x = 7(2 + x) + x
74 + -7x = (2 * 7 + x * 7) + x
74 + -7x = (14 + 7x) + x

Combine like terms: 7x + x = 8x
74 + -7x = 14 + 8x

Solving
74 + -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.
74 + -7x + -8x = 14 + 8x + -8x

Combine like terms: -7x + -8x = -15x
74 + -15x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
74 + -15x = 14 + 0
74 + -15x = 14

Add '-74' to each side of the equation.
74 + -74 + -15x = 14 + -74

Combine like terms: 74 + -74 = 0
0 + -15x = 14 + -74
-15x = 14 + -74

Combine like terms: 14 + -74 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4

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