29=-2(4x-5)+3(x+6)

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Solution for 29=-2(4x-5)+3(x+6) equation:


Simplifying
29 = -2(4x + -5) + 3(x + 6)

Reorder the terms:
29 = -2(-5 + 4x) + 3(x + 6)
29 = (-5 * -2 + 4x * -2) + 3(x + 6)
29 = (10 + -8x) + 3(x + 6)

Reorder the terms:
29 = 10 + -8x + 3(6 + x)
29 = 10 + -8x + (6 * 3 + x * 3)
29 = 10 + -8x + (18 + 3x)

Reorder the terms:
29 = 10 + 18 + -8x + 3x

Combine like terms: 10 + 18 = 28
29 = 28 + -8x + 3x

Combine like terms: -8x + 3x = -5x
29 = 28 + -5x

Solving
29 = 28 + -5x

Solving for variable 'x'.

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

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

Combine like terms: -5x + 5x = 0
29 + 5x = 28 + 0
29 + 5x = 28

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

Combine like terms: 29 + -29 = 0
0 + 5x = 28 + -29
5x = 28 + -29

Combine like terms: 28 + -29 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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