3x+43=3(3x+3)+10

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Solution for 3x+43=3(3x+3)+10 equation:


Simplifying
3x + 43 = 3(3x + 3) + 10

Reorder the terms:
43 + 3x = 3(3x + 3) + 10

Reorder the terms:
43 + 3x = 3(3 + 3x) + 10
43 + 3x = (3 * 3 + 3x * 3) + 10
43 + 3x = (9 + 9x) + 10

Reorder the terms:
43 + 3x = 9 + 10 + 9x

Combine like terms: 9 + 10 = 19
43 + 3x = 19 + 9x

Solving
43 + 3x = 19 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
43 + 3x + -9x = 19 + 9x + -9x

Combine like terms: 3x + -9x = -6x
43 + -6x = 19 + 9x + -9x

Combine like terms: 9x + -9x = 0
43 + -6x = 19 + 0
43 + -6x = 19

Add '-43' to each side of the equation.
43 + -43 + -6x = 19 + -43

Combine like terms: 43 + -43 = 0
0 + -6x = 19 + -43
-6x = 19 + -43

Combine like terms: 19 + -43 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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