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

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


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

Reorder the terms:
3(-6 + 2x) + 5 = 4x + 7
(-6 * 3 + 2x * 3) + 5 = 4x + 7
(-18 + 6x) + 5 = 4x + 7

Reorder the terms:
-18 + 5 + 6x = 4x + 7

Combine like terms: -18 + 5 = -13
-13 + 6x = 4x + 7

Reorder the terms:
-13 + 6x = 7 + 4x

Solving
-13 + 6x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + 6x + -4x = 7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-13 + 2x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + 2x = 7 + 0
-13 + 2x = 7

Add '13' to each side of the equation.
-13 + 13 + 2x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 7 + 13
2x = 7 + 13

Combine like terms: 7 + 13 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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