64+-1(3x+10)=3(x+4)+x

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Solution for 64+-1(3x+10)=3(x+4)+x equation:


Simplifying
64 + -1(3x + 10) = 3(x + 4) + x

Reorder the terms:
64 + -1(10 + 3x) = 3(x + 4) + x
64 + (10 * -1 + 3x * -1) = 3(x + 4) + x
64 + (-10 + -3x) = 3(x + 4) + x

Combine like terms: 64 + -10 = 54
54 + -3x = 3(x + 4) + x

Reorder the terms:
54 + -3x = 3(4 + x) + x
54 + -3x = (4 * 3 + x * 3) + x
54 + -3x = (12 + 3x) + x

Combine like terms: 3x + x = 4x
54 + -3x = 12 + 4x

Solving
54 + -3x = 12 + 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.
54 + -3x + -4x = 12 + 4x + -4x

Combine like terms: -3x + -4x = -7x
54 + -7x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
54 + -7x = 12 + 0
54 + -7x = 12

Add '-54' to each side of the equation.
54 + -54 + -7x = 12 + -54

Combine like terms: 54 + -54 = 0
0 + -7x = 12 + -54
-7x = 12 + -54

Combine like terms: 12 + -54 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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