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

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


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

Reorder the terms:
3(-7 + 2x) + 5 = 4x + -3
(-7 * 3 + 2x * 3) + 5 = 4x + -3
(-21 + 6x) + 5 = 4x + -3

Reorder the terms:
-21 + 5 + 6x = 4x + -3

Combine like terms: -21 + 5 = -16
-16 + 6x = 4x + -3

Reorder the terms:
-16 + 6x = -3 + 4x

Solving
-16 + 6x = -3 + 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.
-16 + 6x + -4x = -3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-16 + 2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 2x = -3 + 0
-16 + 2x = -3

Add '16' to each side of the equation.
-16 + 16 + 2x = -3 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -3 + 16
2x = -3 + 16

Combine like terms: -3 + 16 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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