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

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Solution for 5(x+2)=3(x+7)+4x equation:


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

Reorder the terms:
5(2 + x) = 3(x + 7) + 4x
(2 * 5 + x * 5) = 3(x + 7) + 4x
(10 + 5x) = 3(x + 7) + 4x

Reorder the terms:
10 + 5x = 3(7 + x) + 4x
10 + 5x = (7 * 3 + x * 3) + 4x
10 + 5x = (21 + 3x) + 4x

Combine like terms: 3x + 4x = 7x
10 + 5x = 21 + 7x

Solving
10 + 5x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
10 + 5x + -7x = 21 + 7x + -7x

Combine like terms: 5x + -7x = -2x
10 + -2x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = 21 + 0
10 + -2x = 21

Add '-10' to each side of the equation.
10 + -10 + -2x = 21 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 21 + -10
-2x = 21 + -10

Combine like terms: 21 + -10 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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