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

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


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

Reorder the terms:
6(-3 + x) + 5(2x + -7) = 2(3x + 2)
(-3 * 6 + x * 6) + 5(2x + -7) = 2(3x + 2)
(-18 + 6x) + 5(2x + -7) = 2(3x + 2)

Reorder the terms:
-18 + 6x + 5(-7 + 2x) = 2(3x + 2)
-18 + 6x + (-7 * 5 + 2x * 5) = 2(3x + 2)
-18 + 6x + (-35 + 10x) = 2(3x + 2)

Reorder the terms:
-18 + -35 + 6x + 10x = 2(3x + 2)

Combine like terms: -18 + -35 = -53
-53 + 6x + 10x = 2(3x + 2)

Combine like terms: 6x + 10x = 16x
-53 + 16x = 2(3x + 2)

Reorder the terms:
-53 + 16x = 2(2 + 3x)
-53 + 16x = (2 * 2 + 3x * 2)
-53 + 16x = (4 + 6x)

Solving
-53 + 16x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-53 + 16x + -6x = 4 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-53 + 10x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-53 + 10x = 4 + 0
-53 + 10x = 4

Add '53' to each side of the equation.
-53 + 53 + 10x = 4 + 53

Combine like terms: -53 + 53 = 0
0 + 10x = 4 + 53
10x = 4 + 53

Combine like terms: 4 + 53 = 57
10x = 57

Divide each side by '10'.
x = 5.7

Simplifying
x = 5.7

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