5(3x-1)=4(2x+1)-30

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Solution for 5(3x-1)=4(2x+1)-30 equation:


Simplifying
5(3x + -1) = 4(2x + 1) + -30

Reorder the terms:
5(-1 + 3x) = 4(2x + 1) + -30
(-1 * 5 + 3x * 5) = 4(2x + 1) + -30
(-5 + 15x) = 4(2x + 1) + -30

Reorder the terms:
-5 + 15x = 4(1 + 2x) + -30
-5 + 15x = (1 * 4 + 2x * 4) + -30
-5 + 15x = (4 + 8x) + -30

Reorder the terms:
-5 + 15x = 4 + -30 + 8x

Combine like terms: 4 + -30 = -26
-5 + 15x = -26 + 8x

Solving
-5 + 15x = -26 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 15x + -8x = -26 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-5 + 7x = -26 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 7x = -26 + 0
-5 + 7x = -26

Add '5' to each side of the equation.
-5 + 5 + 7x = -26 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = -26 + 5
7x = -26 + 5

Combine like terms: -26 + 5 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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