3x+7(x+2)=4(x+3)+7

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Solution for 3x+7(x+2)=4(x+3)+7 equation:


Simplifying
3x + 7(x + 2) = 4(x + 3) + 7

Reorder the terms:
3x + 7(2 + x) = 4(x + 3) + 7
3x + (2 * 7 + x * 7) = 4(x + 3) + 7
3x + (14 + 7x) = 4(x + 3) + 7

Reorder the terms:
14 + 3x + 7x = 4(x + 3) + 7

Combine like terms: 3x + 7x = 10x
14 + 10x = 4(x + 3) + 7

Reorder the terms:
14 + 10x = 4(3 + x) + 7
14 + 10x = (3 * 4 + x * 4) + 7
14 + 10x = (12 + 4x) + 7

Reorder the terms:
14 + 10x = 12 + 7 + 4x

Combine like terms: 12 + 7 = 19
14 + 10x = 19 + 4x

Solving
14 + 10x = 19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 10x + -4x = 19 + 4x + -4x

Combine like terms: 10x + -4x = 6x
14 + 6x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 6x = 19 + 0
14 + 6x = 19

Add '-14' to each side of the equation.
14 + -14 + 6x = 19 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 19 + -14
6x = 19 + -14

Combine like terms: 19 + -14 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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