3x+29=10x-27

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Solution for 3x+29=10x-27 equation:


Simplifying
3x + 29 = 10x + -27

Reorder the terms:
29 + 3x = 10x + -27

Reorder the terms:
29 + 3x = -27 + 10x

Solving
29 + 3x = -27 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
29 + 3x + -10x = -27 + 10x + -10x

Combine like terms: 3x + -10x = -7x
29 + -7x = -27 + 10x + -10x

Combine like terms: 10x + -10x = 0
29 + -7x = -27 + 0
29 + -7x = -27

Add '-29' to each side of the equation.
29 + -29 + -7x = -27 + -29

Combine like terms: 29 + -29 = 0
0 + -7x = -27 + -29
-7x = -27 + -29

Combine like terms: -27 + -29 = -56
-7x = -56

Divide each side by '-7'.
x = 8

Simplifying
x = 8

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