3x+10-2x=3(2x+8)-43

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Solution for 3x+10-2x=3(2x+8)-43 equation: 


Simplifying
3x + 10 + -2x = 3(2x + 8) + -43

Reorder the terms:
10 + 3x + -2x = 3(2x + 8) + -43

Combine like terms: 3x + -2x = 1x
10 + 1x = 3(2x + 8) + -43

Reorder the terms:
10 + 1x = 3(8 + 2x) + -43
10 + 1x = (8 * 3 + 2x * 3) + -43
10 + 1x = (24 + 6x) + -43

Reorder the terms:
10 + 1x = 24 + -43 + 6x

Combine like terms: 24 + -43 = -19
10 + 1x = -19 + 6x

Solving
10 + 1x = -19 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 1x + -6x = -19 + 6x + -6x

Combine like terms: 1x + -6x = -5x
10 + -5x = -19 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -5x = -19 + 0
10 + -5x = -19

Add '-10' to each side of the equation.
10 + -10 + -5x = -19 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -19 + -10
-5x = -19 + -10

Combine like terms: -19 + -10 = -29
-5x = -29

Divide each side by '-5'.
x = 5.8

Simplifying
x = 5.8

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