4(4x+56)=2(x+42)

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Solution for 4(4x+56)=2(x+42) equation:


Simplifying
4(4x + 56) = 2(x + 42)

Reorder the terms:
4(56 + 4x) = 2(x + 42)
(56 * 4 + 4x * 4) = 2(x + 42)
(224 + 16x) = 2(x + 42)

Reorder the terms:
224 + 16x = 2(42 + x)
224 + 16x = (42 * 2 + x * 2)
224 + 16x = (84 + 2x)

Solving
224 + 16x = 84 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
224 + 16x + -2x = 84 + 2x + -2x

Combine like terms: 16x + -2x = 14x
224 + 14x = 84 + 2x + -2x

Combine like terms: 2x + -2x = 0
224 + 14x = 84 + 0
224 + 14x = 84

Add '-224' to each side of the equation.
224 + -224 + 14x = 84 + -224

Combine like terms: 224 + -224 = 0
0 + 14x = 84 + -224
14x = 84 + -224

Combine like terms: 84 + -224 = -140
14x = -140

Divide each side by '14'.
x = -10

Simplifying
x = -10

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