16(x-7)=-4(x-38)

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Solution for 16(x-7)=-4(x-38) equation:


Simplifying
16(x + -7) = -4(x + -38)

Reorder the terms:
16(-7 + x) = -4(x + -38)
(-7 * 16 + x * 16) = -4(x + -38)
(-112 + 16x) = -4(x + -38)

Reorder the terms:
-112 + 16x = -4(-38 + x)
-112 + 16x = (-38 * -4 + x * -4)
-112 + 16x = (152 + -4x)

Solving
-112 + 16x = 152 + -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.
-112 + 16x + 4x = 152 + -4x + 4x

Combine like terms: 16x + 4x = 20x
-112 + 20x = 152 + -4x + 4x

Combine like terms: -4x + 4x = 0
-112 + 20x = 152 + 0
-112 + 20x = 152

Add '112' to each side of the equation.
-112 + 112 + 20x = 152 + 112

Combine like terms: -112 + 112 = 0
0 + 20x = 152 + 112
20x = 152 + 112

Combine like terms: 152 + 112 = 264
20x = 264

Divide each side by '20'.
x = 13.2

Simplifying
x = 13.2

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