11x+3=10(x+4)-8

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Solution for 11x+3=10(x+4)-8 equation:


Simplifying
11x + 3 = 10(x + 4) + -8

Reorder the terms:
3 + 11x = 10(x + 4) + -8

Reorder the terms:
3 + 11x = 10(4 + x) + -8
3 + 11x = (4 * 10 + x * 10) + -8
3 + 11x = (40 + 10x) + -8

Reorder the terms:
3 + 11x = 40 + -8 + 10x

Combine like terms: 40 + -8 = 32
3 + 11x = 32 + 10x

Solving
3 + 11x = 32 + 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.
3 + 11x + -10x = 32 + 10x + -10x

Combine like terms: 11x + -10x = 1x
3 + 1x = 32 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + 1x = 32 + 0
3 + 1x = 32

Add '-3' to each side of the equation.
3 + -3 + 1x = 32 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 32 + -3
1x = 32 + -3

Combine like terms: 32 + -3 = 29
1x = 29

Divide each side by '1'.
x = 29

Simplifying
x = 29

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