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

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


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

Reorder the terms:
3(-5 + 4x) + -10x + 5 = 5(x + -4) + 4
(-5 * 3 + 4x * 3) + -10x + 5 = 5(x + -4) + 4
(-15 + 12x) + -10x + 5 = 5(x + -4) + 4

Reorder the terms:
-15 + 5 + 12x + -10x = 5(x + -4) + 4

Combine like terms: -15 + 5 = -10
-10 + 12x + -10x = 5(x + -4) + 4

Combine like terms: 12x + -10x = 2x
-10 + 2x = 5(x + -4) + 4

Reorder the terms:
-10 + 2x = 5(-4 + x) + 4
-10 + 2x = (-4 * 5 + x * 5) + 4
-10 + 2x = (-20 + 5x) + 4

Reorder the terms:
-10 + 2x = -20 + 4 + 5x

Combine like terms: -20 + 4 = -16
-10 + 2x = -16 + 5x

Solving
-10 + 2x = -16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 2x + -5x = -16 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-10 + -3x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -3x = -16 + 0
-10 + -3x = -16

Add '10' to each side of the equation.
-10 + 10 + -3x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -16 + 10
-3x = -16 + 10

Combine like terms: -16 + 10 = -6
-3x = -6

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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