3(5x-1)-4(x-4)=5(2x+10)

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Solution for 3(5x-1)-4(x-4)=5(2x+10) equation:


Simplifying
3(5x + -1) + -4(x + -4) = 5(2x + 10)

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

Reorder the terms:
-3 + 15x + -4(-4 + x) = 5(2x + 10)
-3 + 15x + (-4 * -4 + x * -4) = 5(2x + 10)
-3 + 15x + (16 + -4x) = 5(2x + 10)

Reorder the terms:
-3 + 16 + 15x + -4x = 5(2x + 10)

Combine like terms: -3 + 16 = 13
13 + 15x + -4x = 5(2x + 10)

Combine like terms: 15x + -4x = 11x
13 + 11x = 5(2x + 10)

Reorder the terms:
13 + 11x = 5(10 + 2x)
13 + 11x = (10 * 5 + 2x * 5)
13 + 11x = (50 + 10x)

Solving
13 + 11x = 50 + 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.
13 + 11x + -10x = 50 + 10x + -10x

Combine like terms: 11x + -10x = 1x
13 + 1x = 50 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + 1x = 50 + 0
13 + 1x = 50

Add '-13' to each side of the equation.
13 + -13 + 1x = 50 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 50 + -13
1x = 50 + -13

Combine like terms: 50 + -13 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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