3(x+5)=10(x-16)

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Solution for 3(x+5)=10(x-16) equation:


Simplifying
3(x + 5) = 10(x + -16)

Reorder the terms:
3(5 + x) = 10(x + -16)
(5 * 3 + x * 3) = 10(x + -16)
(15 + 3x) = 10(x + -16)

Reorder the terms:
15 + 3x = 10(-16 + x)
15 + 3x = (-16 * 10 + x * 10)
15 + 3x = (-160 + 10x)

Solving
15 + 3x = -160 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15 + 3x + -10x = -160 + 10x + -10x

Combine like terms: 3x + -10x = -7x
15 + -7x = -160 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -7x = -160 + 0
15 + -7x = -160

Add '-15' to each side of the equation.
15 + -15 + -7x = -160 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -160 + -15
-7x = -160 + -15

Combine like terms: -160 + -15 = -175
-7x = -175

Divide each side by '-7'.
x = 25

Simplifying
x = 25

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