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

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


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

Reorder the terms:
3(5 + 2x) + -3 = 2(4 + -5x)
(5 * 3 + 2x * 3) + -3 = 2(4 + -5x)
(15 + 6x) + -3 = 2(4 + -5x)

Reorder the terms:
15 + -3 + 6x = 2(4 + -5x)

Combine like terms: 15 + -3 = 12
12 + 6x = 2(4 + -5x)
12 + 6x = (4 * 2 + -5x * 2)
12 + 6x = (8 + -10x)

Solving
12 + 6x = 8 + -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.
12 + 6x + 10x = 8 + -10x + 10x

Combine like terms: 6x + 10x = 16x
12 + 16x = 8 + -10x + 10x

Combine like terms: -10x + 10x = 0
12 + 16x = 8 + 0
12 + 16x = 8

Add '-12' to each side of the equation.
12 + -12 + 16x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 8 + -12
16x = 8 + -12

Combine like terms: 8 + -12 = -4
16x = -4

Divide each side by '16'.
x = -0.25

Simplifying
x = -0.25

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