6(2x+5)-7=4x+5(2x-1)

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Solution for 6(2x+5)-7=4x+5(2x-1) equation:


Simplifying
6(2x + 5) + -7 = 4x + 5(2x + -1)

Reorder the terms:
6(5 + 2x) + -7 = 4x + 5(2x + -1)
(5 * 6 + 2x * 6) + -7 = 4x + 5(2x + -1)
(30 + 12x) + -7 = 4x + 5(2x + -1)

Reorder the terms:
30 + -7 + 12x = 4x + 5(2x + -1)

Combine like terms: 30 + -7 = 23
23 + 12x = 4x + 5(2x + -1)

Reorder the terms:
23 + 12x = 4x + 5(-1 + 2x)
23 + 12x = 4x + (-1 * 5 + 2x * 5)
23 + 12x = 4x + (-5 + 10x)

Reorder the terms:
23 + 12x = -5 + 4x + 10x

Combine like terms: 4x + 10x = 14x
23 + 12x = -5 + 14x

Solving
23 + 12x = -5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
23 + 12x + -14x = -5 + 14x + -14x

Combine like terms: 12x + -14x = -2x
23 + -2x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
23 + -2x = -5 + 0
23 + -2x = -5

Add '-23' to each side of the equation.
23 + -23 + -2x = -5 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = -5 + -23
-2x = -5 + -23

Combine like terms: -5 + -23 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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