61-(3x+4)=3(x+5)+x

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Solution for 61-(3x+4)=3(x+5)+x equation:


Simplifying
61 + -1(3x + 4) = 3(x + 5) + x

Reorder the terms:
61 + -1(4 + 3x) = 3(x + 5) + x
61 + (4 * -1 + 3x * -1) = 3(x + 5) + x
61 + (-4 + -3x) = 3(x + 5) + x

Combine like terms: 61 + -4 = 57
57 + -3x = 3(x + 5) + x

Reorder the terms:
57 + -3x = 3(5 + x) + x
57 + -3x = (5 * 3 + x * 3) + x
57 + -3x = (15 + 3x) + x

Combine like terms: 3x + x = 4x
57 + -3x = 15 + 4x

Solving
57 + -3x = 15 + 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.
57 + -3x + -4x = 15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
57 + -7x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
57 + -7x = 15 + 0
57 + -7x = 15

Add '-57' to each side of the equation.
57 + -57 + -7x = 15 + -57

Combine like terms: 57 + -57 = 0
0 + -7x = 15 + -57
-7x = 15 + -57

Combine like terms: 15 + -57 = -42
-7x = -42

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

Simplifying
x = 6

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