2(x-7)+3(4+x)=43

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Solution for 2(x-7)+3(4+x)=43 equation:


Simplifying
2(x + -7) + 3(4 + x) = 43

Reorder the terms:
2(-7 + x) + 3(4 + x) = 43
(-7 * 2 + x * 2) + 3(4 + x) = 43
(-14 + 2x) + 3(4 + x) = 43
-14 + 2x + (4 * 3 + x * 3) = 43
-14 + 2x + (12 + 3x) = 43

Reorder the terms:
-14 + 12 + 2x + 3x = 43

Combine like terms: -14 + 12 = -2
-2 + 2x + 3x = 43

Combine like terms: 2x + 3x = 5x
-2 + 5x = 43

Solving
-2 + 5x = 43

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 43 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 43 + 2
5x = 43 + 2

Combine like terms: 43 + 2 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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