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

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


Simplifying
2(5 + -3x) = 4(x + 2) + -4(4 + -5) + 7
(5 * 2 + -3x * 2) = 4(x + 2) + -4(4 + -5) + 7
(10 + -6x) = 4(x + 2) + -4(4 + -5) + 7

Reorder the terms:
10 + -6x = 4(2 + x) + -4(4 + -5) + 7
10 + -6x = (2 * 4 + x * 4) + -4(4 + -5) + 7
10 + -6x = (8 + 4x) + -4(4 + -5) + 7

Combine like terms: 4 + -5 = -1
10 + -6x = 8 + 4x + -4(-1) + 7

Multiply -4 * -1
10 + -6x = 8 + 4x + 4 + 7

Reorder the terms:
10 + -6x = 8 + 4 + 7 + 4x

Combine like terms: 8 + 4 = 12
10 + -6x = 12 + 7 + 4x

Combine like terms: 12 + 7 = 19
10 + -6x = 19 + 4x

Solving
10 + -6x = 19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -6x + -4x = 19 + 4x + -4x

Combine like terms: -6x + -4x = -10x
10 + -10x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -10x = 19 + 0
10 + -10x = 19

Add '-10' to each side of the equation.
10 + -10 + -10x = 19 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = 19 + -10
-10x = 19 + -10

Combine like terms: 19 + -10 = 9
-10x = 9

Divide each side by '-10'.
x = -0.9

Simplifying
x = -0.9

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