4(x+2)+3(2x-5)=43

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Solution for 4(x+2)+3(2x-5)=43 equation: 


Simplifying
4(x + 2) + 3(2x + -5) = 43

Reorder the terms:
4(2 + x) + 3(2x + -5) = 43
(2 * 4 + x * 4) + 3(2x + -5) = 43
(8 + 4x) + 3(2x + -5) = 43

Reorder the terms:
8 + 4x + 3(-5 + 2x) = 43
8 + 4x + (-5 * 3 + 2x * 3) = 43
8 + 4x + (-15 + 6x) = 43

Reorder the terms:
8 + -15 + 4x + 6x = 43

Combine like terms: 8 + -15 = -7
-7 + 4x + 6x = 43

Combine like terms: 4x + 6x = 10x
-7 + 10x = 43

Solving
-7 + 10x = 43

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 10x = 43 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 43 + 7
10x = 43 + 7

Combine like terms: 43 + 7 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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