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

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


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

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

Reorder the terms:
-5 + 4x = 7(1 + 2x)
-5 + 4x = (1 * 7 + 2x * 7)
-5 + 4x = (7 + 14x)

Solving
-5 + 4x = 7 + 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.
-5 + 4x + -14x = 7 + 14x + -14x

Combine like terms: 4x + -14x = -10x
-5 + -10x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-5 + -10x = 7 + 0
-5 + -10x = 7

Add '5' to each side of the equation.
-5 + 5 + -10x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = 7 + 5
-10x = 7 + 5

Combine like terms: 7 + 5 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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