4(x-2)+6(x+3)=40

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Solution for 4(x-2)+6(x+3)=40 equation: 


Simplifying
4(x + -2) + 6(x + 3) = 40

Reorder the terms:
4(-2 + x) + 6(x + 3) = 40
(-2 * 4 + x * 4) + 6(x + 3) = 40
(-8 + 4x) + 6(x + 3) = 40

Reorder the terms:
-8 + 4x + 6(3 + x) = 40
-8 + 4x + (3 * 6 + x * 6) = 40
-8 + 4x + (18 + 6x) = 40

Reorder the terms:
-8 + 18 + 4x + 6x = 40

Combine like terms: -8 + 18 = 10
10 + 4x + 6x = 40

Combine like terms: 4x + 6x = 10x
10 + 10x = 40

Solving
10 + 10x = 40

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 10x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 40 + -10
10x = 40 + -10

Combine like terms: 40 + -10 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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