3x+58=7x-14

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Solution for 3x+58=7x-14 equation:


Simplifying
3x + 58 = 7x + -14

Reorder the terms:
58 + 3x = 7x + -14

Reorder the terms:
58 + 3x = -14 + 7x

Solving
58 + 3x = -14 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
58 + 3x + -7x = -14 + 7x + -7x

Combine like terms: 3x + -7x = -4x
58 + -4x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
58 + -4x = -14 + 0
58 + -4x = -14

Add '-58' to each side of the equation.
58 + -58 + -4x = -14 + -58

Combine like terms: 58 + -58 = 0
0 + -4x = -14 + -58
-4x = -14 + -58

Combine like terms: -14 + -58 = -72
-4x = -72

Divide each side by '-4'.
x = 18

Simplifying
x = 18

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