37-x+7(3-2x)=-2(7x-29)

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Solution for 37-x+7(3-2x)=-2(7x-29) equation:


Simplifying
37 + -1x + 7(3 + -2x) = -2(7x + -29)
37 + -1x + (3 * 7 + -2x * 7) = -2(7x + -29)
37 + -1x + (21 + -14x) = -2(7x + -29)

Reorder the terms:
37 + 21 + -1x + -14x = -2(7x + -29)

Combine like terms: 37 + 21 = 58
58 + -1x + -14x = -2(7x + -29)

Combine like terms: -1x + -14x = -15x
58 + -15x = -2(7x + -29)

Reorder the terms:
58 + -15x = -2(-29 + 7x)
58 + -15x = (-29 * -2 + 7x * -2)
58 + -15x = (58 + -14x)

Add '-58' to each side of the equation.
58 + -58 + -15x = 58 + -58 + -14x

Combine like terms: 58 + -58 = 0
0 + -15x = 58 + -58 + -14x
-15x = 58 + -58 + -14x

Combine like terms: 58 + -58 = 0
-15x = 0 + -14x
-15x = -14x

Solving
-15x = -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-15x + 14x = -14x + 14x

Combine like terms: -15x + 14x = -1x
-1x = -14x + 14x

Combine like terms: -14x + 14x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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