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

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


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

Reorder the terms:
4(-5 + 3x) + 6 = 2(5x + -6)
(-5 * 4 + 3x * 4) + 6 = 2(5x + -6)
(-20 + 12x) + 6 = 2(5x + -6)

Reorder the terms:
-20 + 6 + 12x = 2(5x + -6)

Combine like terms: -20 + 6 = -14
-14 + 12x = 2(5x + -6)

Reorder the terms:
-14 + 12x = 2(-6 + 5x)
-14 + 12x = (-6 * 2 + 5x * 2)
-14 + 12x = (-12 + 10x)

Solving
-14 + 12x = -12 + 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.
-14 + 12x + -10x = -12 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-14 + 2x = -12 + 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + 2x = -12 + 0
-14 + 2x = -12

Add '14' to each side of the equation.
-14 + 14 + 2x = -12 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -12 + 14
2x = -12 + 14

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

Divide each side by '2'.
x = 1

Simplifying
x = 1

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