-29=13(8x+11)-10(x-11)

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Solution for -29=13(8x+11)-10(x-11) equation:


Simplifying
-29 = 13(8x + 11) + -10(x + -11)

Reorder the terms:
-29 = 13(11 + 8x) + -10(x + -11)
-29 = (11 * 13 + 8x * 13) + -10(x + -11)
-29 = (143 + 104x) + -10(x + -11)

Reorder the terms:
-29 = 143 + 104x + -10(-11 + x)
-29 = 143 + 104x + (-11 * -10 + x * -10)
-29 = 143 + 104x + (110 + -10x)

Reorder the terms:
-29 = 143 + 110 + 104x + -10x

Combine like terms: 143 + 110 = 253
-29 = 253 + 104x + -10x

Combine like terms: 104x + -10x = 94x
-29 = 253 + 94x

Solving
-29 = 253 + 94x

Solving for variable 'x'.

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

Add '-94x' to each side of the equation.
-29 + -94x = 253 + 94x + -94x

Combine like terms: 94x + -94x = 0
-29 + -94x = 253 + 0
-29 + -94x = 253

Add '29' to each side of the equation.
-29 + 29 + -94x = 253 + 29

Combine like terms: -29 + 29 = 0
0 + -94x = 253 + 29
-94x = 253 + 29

Combine like terms: 253 + 29 = 282
-94x = 282

Divide each side by '-94'.
x = -3

Simplifying
x = -3

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