2(5x-3)=6(4x+7)

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Solution for 2(5x-3)=6(4x+7) equation:


Simplifying
2(5x + -3) = 6(4x + 7)

Reorder the terms:
2(-3 + 5x) = 6(4x + 7)
(-3 * 2 + 5x * 2) = 6(4x + 7)
(-6 + 10x) = 6(4x + 7)

Reorder the terms:
-6 + 10x = 6(7 + 4x)
-6 + 10x = (7 * 6 + 4x * 6)
-6 + 10x = (42 + 24x)

Solving
-6 + 10x = 42 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + 10x + -24x = 42 + 24x + -24x

Combine like terms: 10x + -24x = -14x
-6 + -14x = 42 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -14x = 42 + 0
-6 + -14x = 42

Add '6' to each side of the equation.
-6 + 6 + -14x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = 42 + 6
-14x = 42 + 6

Combine like terms: 42 + 6 = 48
-14x = 48

Divide each side by '-14'.
x = -3.428571429

Simplifying
x = -3.428571429

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