4x+3(x+4)=5(x+2)+10

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Solution for 4x+3(x+4)=5(x+2)+10 equation:


Simplifying
4x + 3(x + 4) = 5(x + 2) + 10

Reorder the terms:
4x + 3(4 + x) = 5(x + 2) + 10
4x + (4 * 3 + x * 3) = 5(x + 2) + 10
4x + (12 + 3x) = 5(x + 2) + 10

Reorder the terms:
12 + 4x + 3x = 5(x + 2) + 10

Combine like terms: 4x + 3x = 7x
12 + 7x = 5(x + 2) + 10

Reorder the terms:
12 + 7x = 5(2 + x) + 10
12 + 7x = (2 * 5 + x * 5) + 10
12 + 7x = (10 + 5x) + 10

Reorder the terms:
12 + 7x = 10 + 10 + 5x

Combine like terms: 10 + 10 = 20
12 + 7x = 20 + 5x

Solving
12 + 7x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 7x + -5x = 20 + 5x + -5x

Combine like terms: 7x + -5x = 2x
12 + 2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 2x = 20 + 0
12 + 2x = 20

Add '-12' to each side of the equation.
12 + -12 + 2x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 20 + -12
2x = 20 + -12

Combine like terms: 20 + -12 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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