5[2(3x-3)-4(2x-3)]=3x+17

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Solution for 5[2(3x-3)-4(2x-3)]=3x+17 equation:


Simplifying
5[2(3x + -3) + -4(2x + -3)] = 3x + 17

Reorder the terms:
5[2(-3 + 3x) + -4(2x + -3)] = 3x + 17
5[(-3 * 2 + 3x * 2) + -4(2x + -3)] = 3x + 17
5[(-6 + 6x) + -4(2x + -3)] = 3x + 17

Reorder the terms:
5[-6 + 6x + -4(-3 + 2x)] = 3x + 17
5[-6 + 6x + (-3 * -4 + 2x * -4)] = 3x + 17
5[-6 + 6x + (12 + -8x)] = 3x + 17

Reorder the terms:
5[-6 + 12 + 6x + -8x] = 3x + 17

Combine like terms: -6 + 12 = 6
5[6 + 6x + -8x] = 3x + 17

Combine like terms: 6x + -8x = -2x
5[6 + -2x] = 3x + 17
[6 * 5 + -2x * 5] = 3x + 17
[30 + -10x] = 3x + 17

Reorder the terms:
30 + -10x = 17 + 3x

Solving
30 + -10x = 17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + -10x + -3x = 17 + 3x + -3x

Combine like terms: -10x + -3x = -13x
30 + -13x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -13x = 17 + 0
30 + -13x = 17

Add '-30' to each side of the equation.
30 + -30 + -13x = 17 + -30

Combine like terms: 30 + -30 = 0
0 + -13x = 17 + -30
-13x = 17 + -30

Combine like terms: 17 + -30 = -13
-13x = -13

Divide each side by '-13'.
x = 1

Simplifying
x = 1

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