10(x+3)-14-8(x-1)+29=1

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Solution for 10(x+3)-14-8(x-1)+29=1 equation: 


Simplifying
10(x + 3) + -14 + -8(x + -1) + 29 = 1

Reorder the terms:
10(3 + x) + -14 + -8(x + -1) + 29 = 1
(3 * 10 + x * 10) + -14 + -8(x + -1) + 29 = 1
(30 + 10x) + -14 + -8(x + -1) + 29 = 1

Reorder the terms:
30 + 10x + -14 + -8(-1 + x) + 29 = 1
30 + 10x + -14 + (-1 * -8 + x * -8) + 29 = 1
30 + 10x + -14 + (8 + -8x) + 29 = 1

Reorder the terms:
30 + -14 + 8 + 29 + 10x + -8x = 1

Combine like terms: 30 + -14 = 16
16 + 8 + 29 + 10x + -8x = 1

Combine like terms: 16 + 8 = 24
24 + 29 + 10x + -8x = 1

Combine like terms: 24 + 29 = 53
53 + 10x + -8x = 1

Combine like terms: 10x + -8x = 2x
53 + 2x = 1

Solving
53 + 2x = 1

Solving for variable 'x'.

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

Add '-53' to each side of the equation.
53 + -53 + 2x = 1 + -53

Combine like terms: 53 + -53 = 0
0 + 2x = 1 + -53
2x = 1 + -53

Combine like terms: 1 + -53 = -52
2x = -52

Divide each side by '2'.
x = -26

Simplifying
x = -26

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