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

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


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

Reorder the terms:
5x + 4(-7 + 2x) = 3(x + 4)
5x + (-7 * 4 + 2x * 4) = 3(x + 4)
5x + (-28 + 8x) = 3(x + 4)

Reorder the terms:
-28 + 5x + 8x = 3(x + 4)

Combine like terms: 5x + 8x = 13x
-28 + 13x = 3(x + 4)

Reorder the terms:
-28 + 13x = 3(4 + x)
-28 + 13x = (4 * 3 + x * 3)
-28 + 13x = (12 + 3x)

Solving
-28 + 13x = 12 + 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.
-28 + 13x + -3x = 12 + 3x + -3x

Combine like terms: 13x + -3x = 10x
-28 + 10x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 10x = 12 + 0
-28 + 10x = 12

Add '28' to each side of the equation.
-28 + 28 + 10x = 12 + 28

Combine like terms: -28 + 28 = 0
0 + 10x = 12 + 28
10x = 12 + 28

Combine like terms: 12 + 28 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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