2(x-8)+70=3(x+10)

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Solution for 2(x-8)+70=3(x+10) equation:


Simplifying
2(x + -8) + 70 = 3(x + 10)

Reorder the terms:
2(-8 + x) + 70 = 3(x + 10)
(-8 * 2 + x * 2) + 70 = 3(x + 10)
(-16 + 2x) + 70 = 3(x + 10)

Reorder the terms:
-16 + 70 + 2x = 3(x + 10)

Combine like terms: -16 + 70 = 54
54 + 2x = 3(x + 10)

Reorder the terms:
54 + 2x = 3(10 + x)
54 + 2x = (10 * 3 + x * 3)
54 + 2x = (30 + 3x)

Solving
54 + 2x = 30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
54 + 2x + -3x = 30 + 3x + -3x

Combine like terms: 2x + -3x = -1x
54 + -1x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
54 + -1x = 30 + 0
54 + -1x = 30

Add '-54' to each side of the equation.
54 + -54 + -1x = 30 + -54

Combine like terms: 54 + -54 = 0
0 + -1x = 30 + -54
-1x = 30 + -54

Combine like terms: 30 + -54 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

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