6(x-3)+5=4x-3

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Solution for 6(x-3)+5=4x-3 equation:


Simplifying
6(x + -3) + 5 = 4x + -3

Reorder the terms:
6(-3 + x) + 5 = 4x + -3
(-3 * 6 + x * 6) + 5 = 4x + -3
(-18 + 6x) + 5 = 4x + -3

Reorder the terms:
-18 + 5 + 6x = 4x + -3

Combine like terms: -18 + 5 = -13
-13 + 6x = 4x + -3

Reorder the terms:
-13 + 6x = -3 + 4x

Solving
-13 + 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.
-13 + 6x + -4x = -3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-13 + 2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + 2x = -3 + 0
-13 + 2x = -3

Add '13' to each side of the equation.
-13 + 13 + 2x = -3 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = -3 + 13
2x = -3 + 13

Combine like terms: -3 + 13 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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