3(2x-5)=7(x+1)

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Solution for 3(2x-5)=7(x+1) equation:


Simplifying
3(2x + -5) = 7(x + 1)

Reorder the terms:
3(-5 + 2x) = 7(x + 1)
(-5 * 3 + 2x * 3) = 7(x + 1)
(-15 + 6x) = 7(x + 1)

Reorder the terms:
-15 + 6x = 7(1 + x)
-15 + 6x = (1 * 7 + x * 7)
-15 + 6x = (7 + 7x)

Solving
-15 + 6x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-15 + 6x + -7x = 7 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-15 + -1x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -1x = 7 + 0
-15 + -1x = 7

Add '15' to each side of the equation.
-15 + 15 + -1x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 7 + 15
-1x = 7 + 15

Combine like terms: 7 + 15 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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