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

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


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

Reorder the terms:
3(-5 + x) + -3 = -5(-4x + 6) + -7x
(-5 * 3 + x * 3) + -3 = -5(-4x + 6) + -7x
(-15 + 3x) + -3 = -5(-4x + 6) + -7x

Reorder the terms:
-15 + -3 + 3x = -5(-4x + 6) + -7x

Combine like terms: -15 + -3 = -18
-18 + 3x = -5(-4x + 6) + -7x

Reorder the terms:
-18 + 3x = -5(6 + -4x) + -7x
-18 + 3x = (6 * -5 + -4x * -5) + -7x
-18 + 3x = (-30 + 20x) + -7x

Combine like terms: 20x + -7x = 13x
-18 + 3x = -30 + 13x

Solving
-18 + 3x = -30 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-18 + 3x + -13x = -30 + 13x + -13x

Combine like terms: 3x + -13x = -10x
-18 + -10x = -30 + 13x + -13x

Combine like terms: 13x + -13x = 0
-18 + -10x = -30 + 0
-18 + -10x = -30

Add '18' to each side of the equation.
-18 + 18 + -10x = -30 + 18

Combine like terms: -18 + 18 = 0
0 + -10x = -30 + 18
-10x = -30 + 18

Combine like terms: -30 + 18 = -12
-10x = -12

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

Simplifying
x = 1.2

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