70-(7x+11)=7(x+2)+x

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Solution for 70-(7x+11)=7(x+2)+x equation:


Simplifying
70 + -1(7x + 11) = 7(x + 2) + x

Reorder the terms:
70 + -1(11 + 7x) = 7(x + 2) + x
70 + (11 * -1 + 7x * -1) = 7(x + 2) + x
70 + (-11 + -7x) = 7(x + 2) + x

Combine like terms: 70 + -11 = 59
59 + -7x = 7(x + 2) + x

Reorder the terms:
59 + -7x = 7(2 + x) + x
59 + -7x = (2 * 7 + x * 7) + x
59 + -7x = (14 + 7x) + x

Combine like terms: 7x + x = 8x
59 + -7x = 14 + 8x

Solving
59 + -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.
59 + -7x + -8x = 14 + 8x + -8x

Combine like terms: -7x + -8x = -15x
59 + -15x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
59 + -15x = 14 + 0
59 + -15x = 14

Add '-59' to each side of the equation.
59 + -59 + -15x = 14 + -59

Combine like terms: 59 + -59 = 0
0 + -15x = 14 + -59
-15x = 14 + -59

Combine like terms: 14 + -59 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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