4(3x-7)+6=5(2x-3)-3

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Solution for 4(3x-7)+6=5(2x-3)-3 equation:


Simplifying
4(3x + -7) + 6 = 5(2x + -3) + -3

Reorder the terms:
4(-7 + 3x) + 6 = 5(2x + -3) + -3
(-7 * 4 + 3x * 4) + 6 = 5(2x + -3) + -3
(-28 + 12x) + 6 = 5(2x + -3) + -3

Reorder the terms:
-28 + 6 + 12x = 5(2x + -3) + -3

Combine like terms: -28 + 6 = -22
-22 + 12x = 5(2x + -3) + -3

Reorder the terms:
-22 + 12x = 5(-3 + 2x) + -3
-22 + 12x = (-3 * 5 + 2x * 5) + -3
-22 + 12x = (-15 + 10x) + -3

Reorder the terms:
-22 + 12x = -15 + -3 + 10x

Combine like terms: -15 + -3 = -18
-22 + 12x = -18 + 10x

Solving
-22 + 12x = -18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-22 + 12x + -10x = -18 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-22 + 2x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
-22 + 2x = -18 + 0
-22 + 2x = -18

Add '22' to each side of the equation.
-22 + 22 + 2x = -18 + 22

Combine like terms: -22 + 22 = 0
0 + 2x = -18 + 22
2x = -18 + 22

Combine like terms: -18 + 22 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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