3(4x-3)+58=7x+4

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Solution for 3(4x-3)+58=7x+4 equation:


Simplifying
3(4x + -3) + 58 = 7x + 4

Reorder the terms:
3(-3 + 4x) + 58 = 7x + 4
(-3 * 3 + 4x * 3) + 58 = 7x + 4
(-9 + 12x) + 58 = 7x + 4

Reorder the terms:
-9 + 58 + 12x = 7x + 4

Combine like terms: -9 + 58 = 49
49 + 12x = 7x + 4

Reorder the terms:
49 + 12x = 4 + 7x

Solving
49 + 12x = 4 + 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.
49 + 12x + -7x = 4 + 7x + -7x

Combine like terms: 12x + -7x = 5x
49 + 5x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
49 + 5x = 4 + 0
49 + 5x = 4

Add '-49' to each side of the equation.
49 + -49 + 5x = 4 + -49

Combine like terms: 49 + -49 = 0
0 + 5x = 4 + -49
5x = 4 + -49

Combine like terms: 4 + -49 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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