2*(4x-30)+2=3*(3x-3)

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Solution for 2*(4x-30)+2=3*(3x-3) equation:


Simplifying
2(4x + -30) + 2 = 3(3x + -3)

Reorder the terms:
2(-30 + 4x) + 2 = 3(3x + -3)
(-30 * 2 + 4x * 2) + 2 = 3(3x + -3)
(-60 + 8x) + 2 = 3(3x + -3)

Reorder the terms:
-60 + 2 + 8x = 3(3x + -3)

Combine like terms: -60 + 2 = -58
-58 + 8x = 3(3x + -3)

Reorder the terms:
-58 + 8x = 3(-3 + 3x)
-58 + 8x = (-3 * 3 + 3x * 3)
-58 + 8x = (-9 + 9x)

Solving
-58 + 8x = -9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-58 + 8x + -9x = -9 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-58 + -1x = -9 + 9x + -9x

Combine like terms: 9x + -9x = 0
-58 + -1x = -9 + 0
-58 + -1x = -9

Add '58' to each side of the equation.
-58 + 58 + -1x = -9 + 58

Combine like terms: -58 + 58 = 0
0 + -1x = -9 + 58
-1x = -9 + 58

Combine like terms: -9 + 58 = 49
-1x = 49

Divide each side by '-1'.
x = -49

Simplifying
x = -49

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