15(2x-10)+4=-3(15x+4)

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Solution for 15(2x-10)+4=-3(15x+4) equation:


Simplifying
15(2x + -10) + 4 = -3(15x + 4)

Reorder the terms:
15(-10 + 2x) + 4 = -3(15x + 4)
(-10 * 15 + 2x * 15) + 4 = -3(15x + 4)
(-150 + 30x) + 4 = -3(15x + 4)

Reorder the terms:
-150 + 4 + 30x = -3(15x + 4)

Combine like terms: -150 + 4 = -146
-146 + 30x = -3(15x + 4)

Reorder the terms:
-146 + 30x = -3(4 + 15x)
-146 + 30x = (4 * -3 + 15x * -3)
-146 + 30x = (-12 + -45x)

Solving
-146 + 30x = -12 + -45x

Solving for variable 'x'.

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

Add '45x' to each side of the equation.
-146 + 30x + 45x = -12 + -45x + 45x

Combine like terms: 30x + 45x = 75x
-146 + 75x = -12 + -45x + 45x

Combine like terms: -45x + 45x = 0
-146 + 75x = -12 + 0
-146 + 75x = -12

Add '146' to each side of the equation.
-146 + 146 + 75x = -12 + 146

Combine like terms: -146 + 146 = 0
0 + 75x = -12 + 146
75x = -12 + 146

Combine like terms: -12 + 146 = 134
75x = 134

Divide each side by '75'.
x = 1.786666667

Simplifying
x = 1.786666667

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