2+8(3x+7)=2(7x+8)+4

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Solution for 2+8(3x+7)=2(7x+8)+4 equation:


Simplifying
2 + 8(3x + 7) = 2(7x + 8) + 4

Reorder the terms:
2 + 8(7 + 3x) = 2(7x + 8) + 4
2 + (7 * 8 + 3x * 8) = 2(7x + 8) + 4
2 + (56 + 24x) = 2(7x + 8) + 4

Combine like terms: 2 + 56 = 58
58 + 24x = 2(7x + 8) + 4

Reorder the terms:
58 + 24x = 2(8 + 7x) + 4
58 + 24x = (8 * 2 + 7x * 2) + 4
58 + 24x = (16 + 14x) + 4

Reorder the terms:
58 + 24x = 16 + 4 + 14x

Combine like terms: 16 + 4 = 20
58 + 24x = 20 + 14x

Solving
58 + 24x = 20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
58 + 24x + -14x = 20 + 14x + -14x

Combine like terms: 24x + -14x = 10x
58 + 10x = 20 + 14x + -14x

Combine like terms: 14x + -14x = 0
58 + 10x = 20 + 0
58 + 10x = 20

Add '-58' to each side of the equation.
58 + -58 + 10x = 20 + -58

Combine like terms: 58 + -58 = 0
0 + 10x = 20 + -58
10x = 20 + -58

Combine like terms: 20 + -58 = -38
10x = -38

Divide each side by '10'.
x = -3.8

Simplifying
x = -3.8

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