4(x+3)=3(x+2)+10

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Solution for 4(x+3)=3(x+2)+10 equation: 


Simplifying
4(x + 3) = 3(x + 2) + 10

Reorder the terms:
4(3 + x) = 3(x + 2) + 10
(3 * 4 + x * 4) = 3(x + 2) + 10
(12 + 4x) = 3(x + 2) + 10

Reorder the terms:
12 + 4x = 3(2 + x) + 10
12 + 4x = (2 * 3 + x * 3) + 10
12 + 4x = (6 + 3x) + 10

Reorder the terms:
12 + 4x = 6 + 10 + 3x

Combine like terms: 6 + 10 = 16
12 + 4x = 16 + 3x

Solving
12 + 4x = 16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + 4x + -3x = 16 + 3x + -3x

Combine like terms: 4x + -3x = 1x
12 + 1x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + 1x = 16 + 0
12 + 1x = 16

Add '-12' to each side of the equation.
12 + -12 + 1x = 16 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 16 + -12
1x = 16 + -12

Combine like terms: 16 + -12 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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