4(x+2)-3(x-5)=46

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Solution for 4(x+2)-3(x-5)=46 equation: 


Simplifying
4(x + 2) + -3(x + -5) = 46

Reorder the terms:
4(2 + x) + -3(x + -5) = 46
(2 * 4 + x * 4) + -3(x + -5) = 46
(8 + 4x) + -3(x + -5) = 46

Reorder the terms:
8 + 4x + -3(-5 + x) = 46
8 + 4x + (-5 * -3 + x * -3) = 46
8 + 4x + (15 + -3x) = 46

Reorder the terms:
8 + 15 + 4x + -3x = 46

Combine like terms: 8 + 15 = 23
23 + 4x + -3x = 46

Combine like terms: 4x + -3x = 1x
23 + 1x = 46

Solving
23 + 1x = 46

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 1x = 46 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 46 + -23
1x = 46 + -23

Combine like terms: 46 + -23 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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