3(5-2x)-4x=4-2(7x-3)

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Solution for 3(5-2x)-4x=4-2(7x-3) equation:


Simplifying
3(5 + -2x) + -4x = 4 + -2(7x + -3)
(5 * 3 + -2x * 3) + -4x = 4 + -2(7x + -3)
(15 + -6x) + -4x = 4 + -2(7x + -3)

Combine like terms: -6x + -4x = -10x
15 + -10x = 4 + -2(7x + -3)

Reorder the terms:
15 + -10x = 4 + -2(-3 + 7x)
15 + -10x = 4 + (-3 * -2 + 7x * -2)
15 + -10x = 4 + (6 + -14x)

Combine like terms: 4 + 6 = 10
15 + -10x = 10 + -14x

Solving
15 + -10x = 10 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
15 + -10x + 14x = 10 + -14x + 14x

Combine like terms: -10x + 14x = 4x
15 + 4x = 10 + -14x + 14x

Combine like terms: -14x + 14x = 0
15 + 4x = 10 + 0
15 + 4x = 10

Add '-15' to each side of the equation.
15 + -15 + 4x = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 10 + -15
4x = 10 + -15

Combine like terms: 10 + -15 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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