2(x-23)+3(x-4)=32

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Solution for 2(x-23)+3(x-4)=32 equation: 


Simplifying
2(x + -23) + 3(x + -4) = 32

Reorder the terms:
2(-23 + x) + 3(x + -4) = 32
(-23 * 2 + x * 2) + 3(x + -4) = 32
(-46 + 2x) + 3(x + -4) = 32

Reorder the terms:
-46 + 2x + 3(-4 + x) = 32
-46 + 2x + (-4 * 3 + x * 3) = 32
-46 + 2x + (-12 + 3x) = 32

Reorder the terms:
-46 + -12 + 2x + 3x = 32

Combine like terms: -46 + -12 = -58
-58 + 2x + 3x = 32

Combine like terms: 2x + 3x = 5x
-58 + 5x = 32

Solving
-58 + 5x = 32

Solving for variable 'x'.

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

Add '58' to each side of the equation.
-58 + 58 + 5x = 32 + 58

Combine like terms: -58 + 58 = 0
0 + 5x = 32 + 58
5x = 32 + 58

Combine like terms: 32 + 58 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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