8x+7(x+5)=4(x+6)

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Solution for 8x+7(x+5)=4(x+6) equation:


Simplifying
8x + 7(x + 5) = 4(x + 6)

Reorder the terms:
8x + 7(5 + x) = 4(x + 6)
8x + (5 * 7 + x * 7) = 4(x + 6)
8x + (35 + 7x) = 4(x + 6)

Reorder the terms:
35 + 8x + 7x = 4(x + 6)

Combine like terms: 8x + 7x = 15x
35 + 15x = 4(x + 6)

Reorder the terms:
35 + 15x = 4(6 + x)
35 + 15x = (6 * 4 + x * 4)
35 + 15x = (24 + 4x)

Solving
35 + 15x = 24 + 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.
35 + 15x + -4x = 24 + 4x + -4x

Combine like terms: 15x + -4x = 11x
35 + 11x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
35 + 11x = 24 + 0
35 + 11x = 24

Add '-35' to each side of the equation.
35 + -35 + 11x = 24 + -35

Combine like terms: 35 + -35 = 0
0 + 11x = 24 + -35
11x = 24 + -35

Combine like terms: 24 + -35 = -11
11x = -11

Divide each side by '11'.
x = -1

Simplifying
x = -1

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