70=2(2x+1)+2(x+4)

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Solution for 70=2(2x+1)+2(x+4) equation:


Simplifying
70 = 2(2x + 1) + 2(x + 4)

Reorder the terms:
70 = 2(1 + 2x) + 2(x + 4)
70 = (1 * 2 + 2x * 2) + 2(x + 4)
70 = (2 + 4x) + 2(x + 4)

Reorder the terms:
70 = 2 + 4x + 2(4 + x)
70 = 2 + 4x + (4 * 2 + x * 2)
70 = 2 + 4x + (8 + 2x)

Reorder the terms:
70 = 2 + 8 + 4x + 2x

Combine like terms: 2 + 8 = 10
70 = 10 + 4x + 2x

Combine like terms: 4x + 2x = 6x
70 = 10 + 6x

Solving
70 = 10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
70 + -6x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
70 + -6x = 10 + 0
70 + -6x = 10

Add '-70' to each side of the equation.
70 + -70 + -6x = 10 + -70

Combine like terms: 70 + -70 = 0
0 + -6x = 10 + -70
-6x = 10 + -70

Combine like terms: 10 + -70 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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