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

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


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

Reorder the terms:
5(-1 + 2x) + -1(4x + 1) = 3(x + 5) + -30
(-1 * 5 + 2x * 5) + -1(4x + 1) = 3(x + 5) + -30
(-5 + 10x) + -1(4x + 1) = 3(x + 5) + -30

Reorder the terms:
-5 + 10x + -1(1 + 4x) = 3(x + 5) + -30
-5 + 10x + (1 * -1 + 4x * -1) = 3(x + 5) + -30
-5 + 10x + (-1 + -4x) = 3(x + 5) + -30

Reorder the terms:
-5 + -1 + 10x + -4x = 3(x + 5) + -30

Combine like terms: -5 + -1 = -6
-6 + 10x + -4x = 3(x + 5) + -30

Combine like terms: 10x + -4x = 6x
-6 + 6x = 3(x + 5) + -30

Reorder the terms:
-6 + 6x = 3(5 + x) + -30
-6 + 6x = (5 * 3 + x * 3) + -30
-6 + 6x = (15 + 3x) + -30

Reorder the terms:
-6 + 6x = 15 + -30 + 3x

Combine like terms: 15 + -30 = -15
-6 + 6x = -15 + 3x

Solving
-6 + 6x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 6x + -3x = -15 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-6 + 3x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3x = -15 + 0
-6 + 3x = -15

Add '6' to each side of the equation.
-6 + 6 + 3x = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = -15 + 6
3x = -15 + 6

Combine like terms: -15 + 6 = -9
3x = -9

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

Simplifying
x = -3

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