7(x+1)+4(2x-7)=6(2x+5)

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Solution for 7(x+1)+4(2x-7)=6(2x+5) equation:


Simplifying
7(x + 1) + 4(2x + -7) = 6(2x + 5)

Reorder the terms:
7(1 + x) + 4(2x + -7) = 6(2x + 5)
(1 * 7 + x * 7) + 4(2x + -7) = 6(2x + 5)
(7 + 7x) + 4(2x + -7) = 6(2x + 5)

Reorder the terms:
7 + 7x + 4(-7 + 2x) = 6(2x + 5)
7 + 7x + (-7 * 4 + 2x * 4) = 6(2x + 5)
7 + 7x + (-28 + 8x) = 6(2x + 5)

Reorder the terms:
7 + -28 + 7x + 8x = 6(2x + 5)

Combine like terms: 7 + -28 = -21
-21 + 7x + 8x = 6(2x + 5)

Combine like terms: 7x + 8x = 15x
-21 + 15x = 6(2x + 5)

Reorder the terms:
-21 + 15x = 6(5 + 2x)
-21 + 15x = (5 * 6 + 2x * 6)
-21 + 15x = (30 + 12x)

Solving
-21 + 15x = 30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-21 + 15x + -12x = 30 + 12x + -12x

Combine like terms: 15x + -12x = 3x
-21 + 3x = 30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + 3x = 30 + 0
-21 + 3x = 30

Add '21' to each side of the equation.
-21 + 21 + 3x = 30 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 30 + 21
3x = 30 + 21

Combine like terms: 30 + 21 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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