x+32=-47(x-37)

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Solution for x+32=-47(x-37) equation:


Simplifying
x + 32 = -47(x + -37)

Reorder the terms:
32 + x = -47(x + -37)

Reorder the terms:
32 + x = -47(-37 + x)
32 + x = (-37 * -47 + x * -47)
32 + x = (1739 + -47x)

Solving
32 + x = 1739 + -47x

Solving for variable 'x'.

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

Add '47x' to each side of the equation.
32 + x + 47x = 1739 + -47x + 47x

Combine like terms: x + 47x = 48x
32 + 48x = 1739 + -47x + 47x

Combine like terms: -47x + 47x = 0
32 + 48x = 1739 + 0
32 + 48x = 1739

Add '-32' to each side of the equation.
32 + -32 + 48x = 1739 + -32

Combine like terms: 32 + -32 = 0
0 + 48x = 1739 + -32
48x = 1739 + -32

Combine like terms: 1739 + -32 = 1707
48x = 1707

Divide each side by '48'.
x = 35.5625

Simplifying
x = 35.5625

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