6(3x-5)=4(4x+10)

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Solution for 6(3x-5)=4(4x+10) equation:


Simplifying
6(3x + -5) = 4(4x + 10)

Reorder the terms:
6(-5 + 3x) = 4(4x + 10)
(-5 * 6 + 3x * 6) = 4(4x + 10)
(-30 + 18x) = 4(4x + 10)

Reorder the terms:
-30 + 18x = 4(10 + 4x)
-30 + 18x = (10 * 4 + 4x * 4)
-30 + 18x = (40 + 16x)

Solving
-30 + 18x = 40 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-30 + 18x + -16x = 40 + 16x + -16x

Combine like terms: 18x + -16x = 2x
-30 + 2x = 40 + 16x + -16x

Combine like terms: 16x + -16x = 0
-30 + 2x = 40 + 0
-30 + 2x = 40

Add '30' to each side of the equation.
-30 + 30 + 2x = 40 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 40 + 30
2x = 40 + 30

Combine like terms: 40 + 30 = 70
2x = 70

Divide each side by '2'.
x = 35

Simplifying
x = 35

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