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

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


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

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

Reorder the terms:
-15 + 3x = 5(1 + 2x) + -4
-15 + 3x = (1 * 5 + 2x * 5) + -4
-15 + 3x = (5 + 10x) + -4

Reorder the terms:
-15 + 3x = 5 + -4 + 10x

Combine like terms: 5 + -4 = 1
-15 + 3x = 1 + 10x

Solving
-15 + 3x = 1 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-15 + 3x + -10x = 1 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-15 + -7x = 1 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + -7x = 1 + 0
-15 + -7x = 1

Add '15' to each side of the equation.
-15 + 15 + -7x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = 1 + 15
-7x = 1 + 15

Combine like terms: 1 + 15 = 16
-7x = 16

Divide each side by '-7'.
x = -2.285714286

Simplifying
x = -2.285714286

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