3(2x-1)-7=4(x+1)

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Solution for 3(2x-1)-7=4(x+1) equation:


Simplifying
3(2x + -1) + -7 = 4(x + 1)

Reorder the terms:
3(-1 + 2x) + -7 = 4(x + 1)
(-1 * 3 + 2x * 3) + -7 = 4(x + 1)
(-3 + 6x) + -7 = 4(x + 1)

Reorder the terms:
-3 + -7 + 6x = 4(x + 1)

Combine like terms: -3 + -7 = -10
-10 + 6x = 4(x + 1)

Reorder the terms:
-10 + 6x = 4(1 + x)
-10 + 6x = (1 * 4 + x * 4)
-10 + 6x = (4 + 4x)

Solving
-10 + 6x = 4 + 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.
-10 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-10 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 2x = 4 + 0
-10 + 2x = 4

Add '10' to each side of the equation.
-10 + 10 + 2x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 4 + 10
2x = 4 + 10

Combine like terms: 4 + 10 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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