3(5x-3)-(x-7)*2=5(2x+3)

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


Simplifying
3(5x + -3) + -1(x + -7) * 2 = 5(2x + 3)

Reorder the terms:
3(-3 + 5x) + -1(x + -7) * 2 = 5(2x + 3)
(-3 * 3 + 5x * 3) + -1(x + -7) * 2 = 5(2x + 3)
(-9 + 15x) + -1(x + -7) * 2 = 5(2x + 3)

Reorder the terms:
-9 + 15x + -1(-7 + x) * 2 = 5(2x + 3)

Reorder the terms for easier multiplication:
-9 + 15x + -1 * 2(-7 + x) = 5(2x + 3)

Multiply -1 * 2
-9 + 15x + -2(-7 + x) = 5(2x + 3)
-9 + 15x + (-7 * -2 + x * -2) = 5(2x + 3)
-9 + 15x + (14 + -2x) = 5(2x + 3)

Reorder the terms:
-9 + 14 + 15x + -2x = 5(2x + 3)

Combine like terms: -9 + 14 = 5
5 + 15x + -2x = 5(2x + 3)

Combine like terms: 15x + -2x = 13x
5 + 13x = 5(2x + 3)

Reorder the terms:
5 + 13x = 5(3 + 2x)
5 + 13x = (3 * 5 + 2x * 5)
5 + 13x = (15 + 10x)

Solving
5 + 13x = 15 + 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.
5 + 13x + -10x = 15 + 10x + -10x

Combine like terms: 13x + -10x = 3x
5 + 3x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + 3x = 15 + 0
5 + 3x = 15

Add '-5' to each side of the equation.
5 + -5 + 3x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 15 + -5
3x = 15 + -5

Combine like terms: 15 + -5 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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