29-5x=-4(7x+6)+7

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Solution for 29-5x=-4(7x+6)+7 equation:


Simplifying
29 + -5x = -4(7x + 6) + 7

Reorder the terms:
29 + -5x = -4(6 + 7x) + 7
29 + -5x = (6 * -4 + 7x * -4) + 7
29 + -5x = (-24 + -28x) + 7

Reorder the terms:
29 + -5x = -24 + 7 + -28x

Combine like terms: -24 + 7 = -17
29 + -5x = -17 + -28x

Solving
29 + -5x = -17 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
29 + -5x + 28x = -17 + -28x + 28x

Combine like terms: -5x + 28x = 23x
29 + 23x = -17 + -28x + 28x

Combine like terms: -28x + 28x = 0
29 + 23x = -17 + 0
29 + 23x = -17

Add '-29' to each side of the equation.
29 + -29 + 23x = -17 + -29

Combine like terms: 29 + -29 = 0
0 + 23x = -17 + -29
23x = -17 + -29

Combine like terms: -17 + -29 = -46
23x = -46

Divide each side by '23'.
x = -2

Simplifying
x = -2

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