30=4(4x+1)+10

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Solution for 30=4(4x+1)+10 equation:


Simplifying
30 = 4(4x + 1) + 10

Reorder the terms:
30 = 4(1 + 4x) + 10
30 = (1 * 4 + 4x * 4) + 10
30 = (4 + 16x) + 10

Reorder the terms:
30 = 4 + 10 + 16x

Combine like terms: 4 + 10 = 14
30 = 14 + 16x

Solving
30 = 14 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
30 + -16x = 14 + 16x + -16x

Combine like terms: 16x + -16x = 0
30 + -16x = 14 + 0
30 + -16x = 14

Add '-30' to each side of the equation.
30 + -30 + -16x = 14 + -30

Combine like terms: 30 + -30 = 0
0 + -16x = 14 + -30
-16x = 14 + -30

Combine like terms: 14 + -30 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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