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

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


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

Reorder the terms:
4(1 + 2x) + 7 = 7(4x + -5)
(1 * 4 + 2x * 4) + 7 = 7(4x + -5)
(4 + 8x) + 7 = 7(4x + -5)

Reorder the terms:
4 + 7 + 8x = 7(4x + -5)

Combine like terms: 4 + 7 = 11
11 + 8x = 7(4x + -5)

Reorder the terms:
11 + 8x = 7(-5 + 4x)
11 + 8x = (-5 * 7 + 4x * 7)
11 + 8x = (-35 + 28x)

Solving
11 + 8x = -35 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
11 + 8x + -28x = -35 + 28x + -28x

Combine like terms: 8x + -28x = -20x
11 + -20x = -35 + 28x + -28x

Combine like terms: 28x + -28x = 0
11 + -20x = -35 + 0
11 + -20x = -35

Add '-11' to each side of the equation.
11 + -11 + -20x = -35 + -11

Combine like terms: 11 + -11 = 0
0 + -20x = -35 + -11
-20x = -35 + -11

Combine like terms: -35 + -11 = -46
-20x = -46

Divide each side by '-20'.
x = 2.3

Simplifying
x = 2.3

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