15(2x-10)+4x=-3(15x+4)+20

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Solution for 15(2x-10)+4x=-3(15x+4)+20 equation:


Simplifying
15(2x + -10) + 4x = -3(15x + 4) + 20

Reorder the terms:
15(-10 + 2x) + 4x = -3(15x + 4) + 20
(-10 * 15 + 2x * 15) + 4x = -3(15x + 4) + 20
(-150 + 30x) + 4x = -3(15x + 4) + 20

Combine like terms: 30x + 4x = 34x
-150 + 34x = -3(15x + 4) + 20

Reorder the terms:
-150 + 34x = -3(4 + 15x) + 20
-150 + 34x = (4 * -3 + 15x * -3) + 20
-150 + 34x = (-12 + -45x) + 20

Reorder the terms:
-150 + 34x = -12 + 20 + -45x

Combine like terms: -12 + 20 = 8
-150 + 34x = 8 + -45x

Solving
-150 + 34x = 8 + -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.
-150 + 34x + 45x = 8 + -45x + 45x

Combine like terms: 34x + 45x = 79x
-150 + 79x = 8 + -45x + 45x

Combine like terms: -45x + 45x = 0
-150 + 79x = 8 + 0
-150 + 79x = 8

Add '150' to each side of the equation.
-150 + 150 + 79x = 8 + 150

Combine like terms: -150 + 150 = 0
0 + 79x = 8 + 150
79x = 8 + 150

Combine like terms: 8 + 150 = 158
79x = 158

Divide each side by '79'.
x = 2

Simplifying
x = 2

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