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

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


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

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

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

Combine like terms: 3x + 5x = 8x
-10 + 8x = 3(x + 7) + 4

Reorder the terms:
-10 + 8x = 3(7 + x) + 4
-10 + 8x = (7 * 3 + x * 3) + 4
-10 + 8x = (21 + 3x) + 4

Reorder the terms:
-10 + 8x = 21 + 4 + 3x

Combine like terms: 21 + 4 = 25
-10 + 8x = 25 + 3x

Solving
-10 + 8x = 25 + 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.
-10 + 8x + -3x = 25 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-10 + 5x = 25 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 5x = 25 + 0
-10 + 5x = 25

Add '10' to each side of the equation.
-10 + 10 + 5x = 25 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 25 + 10
5x = 25 + 10

Combine like terms: 25 + 10 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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