3(2x+5)-4x=11-(3x-4)-10

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Solution for 3(2x+5)-4x=11-(3x-4)-10 equation:


Simplifying
3(2x + 5) + -4x = 11 + -1(3x + -4) + -10

Reorder the terms:
3(5 + 2x) + -4x = 11 + -1(3x + -4) + -10
(5 * 3 + 2x * 3) + -4x = 11 + -1(3x + -4) + -10
(15 + 6x) + -4x = 11 + -1(3x + -4) + -10

Combine like terms: 6x + -4x = 2x
15 + 2x = 11 + -1(3x + -4) + -10

Reorder the terms:
15 + 2x = 11 + -1(-4 + 3x) + -10
15 + 2x = 11 + (-4 * -1 + 3x * -1) + -10
15 + 2x = 11 + (4 + -3x) + -10

Reorder the terms:
15 + 2x = 11 + 4 + -10 + -3x

Combine like terms: 11 + 4 = 15
15 + 2x = 15 + -10 + -3x

Combine like terms: 15 + -10 = 5
15 + 2x = 5 + -3x

Solving
15 + 2x = 5 + -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.
15 + 2x + 3x = 5 + -3x + 3x

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

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

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

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

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

Divide each side by '5'.
x = -2

Simplifying
x = -2

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