7-2(x+3)=13-15(2x-5)

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Solution for 7-2(x+3)=13-15(2x-5) equation:


Simplifying
7 + -2(x + 3) = 13 + -15(2x + -5)

Reorder the terms:
7 + -2(3 + x) = 13 + -15(2x + -5)
7 + (3 * -2 + x * -2) = 13 + -15(2x + -5)
7 + (-6 + -2x) = 13 + -15(2x + -5)

Combine like terms: 7 + -6 = 1
1 + -2x = 13 + -15(2x + -5)

Reorder the terms:
1 + -2x = 13 + -15(-5 + 2x)
1 + -2x = 13 + (-5 * -15 + 2x * -15)
1 + -2x = 13 + (75 + -30x)

Combine like terms: 13 + 75 = 88
1 + -2x = 88 + -30x

Solving
1 + -2x = 88 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
1 + -2x + 30x = 88 + -30x + 30x

Combine like terms: -2x + 30x = 28x
1 + 28x = 88 + -30x + 30x

Combine like terms: -30x + 30x = 0
1 + 28x = 88 + 0
1 + 28x = 88

Add '-1' to each side of the equation.
1 + -1 + 28x = 88 + -1

Combine like terms: 1 + -1 = 0
0 + 28x = 88 + -1
28x = 88 + -1

Combine like terms: 88 + -1 = 87
28x = 87

Divide each side by '28'.
x = 3.107142857

Simplifying
x = 3.107142857

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