(4x+7)3+5=2(2x-10)

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Solution for (4x+7)3+5=2(2x-10) equation:


Simplifying
(4x + 7) * 3 + 5 = 2(2x + -10)

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

Reorder the terms for easier multiplication:
3(7 + 4x) + 5 = 2(2x + -10)
(7 * 3 + 4x * 3) + 5 = 2(2x + -10)
(21 + 12x) + 5 = 2(2x + -10)

Reorder the terms:
21 + 5 + 12x = 2(2x + -10)

Combine like terms: 21 + 5 = 26
26 + 12x = 2(2x + -10)

Reorder the terms:
26 + 12x = 2(-10 + 2x)
26 + 12x = (-10 * 2 + 2x * 2)
26 + 12x = (-20 + 4x)

Solving
26 + 12x = -20 + 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.
26 + 12x + -4x = -20 + 4x + -4x

Combine like terms: 12x + -4x = 8x
26 + 8x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
26 + 8x = -20 + 0
26 + 8x = -20

Add '-26' to each side of the equation.
26 + -26 + 8x = -20 + -26

Combine like terms: 26 + -26 = 0
0 + 8x = -20 + -26
8x = -20 + -26

Combine like terms: -20 + -26 = -46
8x = -46

Divide each side by '8'.
x = -5.75

Simplifying
x = -5.75

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