3(3x-1)-(7x-10)=2(5x-3)-11

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Solution for 3(3x-1)-(7x-10)=2(5x-3)-11 equation:


Simplifying
3(3x + -1) + -1(7x + -10) = 2(5x + -3) + -11

Reorder the terms:
3(-1 + 3x) + -1(7x + -10) = 2(5x + -3) + -11
(-1 * 3 + 3x * 3) + -1(7x + -10) = 2(5x + -3) + -11
(-3 + 9x) + -1(7x + -10) = 2(5x + -3) + -11

Reorder the terms:
-3 + 9x + -1(-10 + 7x) = 2(5x + -3) + -11
-3 + 9x + (-10 * -1 + 7x * -1) = 2(5x + -3) + -11
-3 + 9x + (10 + -7x) = 2(5x + -3) + -11

Reorder the terms:
-3 + 10 + 9x + -7x = 2(5x + -3) + -11

Combine like terms: -3 + 10 = 7
7 + 9x + -7x = 2(5x + -3) + -11

Combine like terms: 9x + -7x = 2x
7 + 2x = 2(5x + -3) + -11

Reorder the terms:
7 + 2x = 2(-3 + 5x) + -11
7 + 2x = (-3 * 2 + 5x * 2) + -11
7 + 2x = (-6 + 10x) + -11

Reorder the terms:
7 + 2x = -6 + -11 + 10x

Combine like terms: -6 + -11 = -17
7 + 2x = -17 + 10x

Solving
7 + 2x = -17 + 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.
7 + 2x + -10x = -17 + 10x + -10x

Combine like terms: 2x + -10x = -8x
7 + -8x = -17 + 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -8x = -17 + 0
7 + -8x = -17

Add '-7' to each side of the equation.
7 + -7 + -8x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = -17 + -7
-8x = -17 + -7

Combine like terms: -17 + -7 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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